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1057495725 = 32521113231429
BaseRepresentation
bin111111000010000…
…001101010101101
32201200212100102100
4333002001222231
54131204330400
6252533445313
735130364626
oct7702015255
92650770370
101057495725
114a2a24210
122561a0839
1313b11b320
14a0636a4d
1562c8c100
hex3f081aad

1057495725 has 144 divisors (see below), whose sum is σ = 2323601280. Its totient is φ = 452390400.

The previous prime is 1057495721. The next prime is 1057495729. The reversal of 1057495725 is 5275947501.

1057495725 = T430 + T431 + ... + T1858.

1057495725 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 9 + 572 + 5 = 666.

1057495725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1057495721) and next prime (1057495729).

It is not a de Polignac number, because 1057495725 - 22 = 1057495721 is a prime.

It is a super-2 number, since 2×10574957252 = 2236594416786551250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057495721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 739311 + ... + 740739.

It is an arithmetic number, because the mean of its divisors is an integer number (16136120).

Almost surely, 21057495725 is an apocalyptic number.

1057495725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057495725 is an abundant number, since it is smaller than the sum of its proper divisors (1266105555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057495725 is a wasteful number, since it uses less digits than its factorization.

1057495725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 1057495725 is about 32519.1593526032. The cubic root of 1057495725 is about 1018.8092361456.

The spelling of 1057495725 in words is "one billion, fifty-seven million, four hundred ninety-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 23 25 33 39 45 55 65 69 75 99 115 117 143 165 195 207 225 253 275 299 325 345 429 495 575 585 715 759 825 897 975 1035 1265 1287 1429 1495 1725 2145 2277 2475 2691 2925 3289 3575 3795 4287 4485 5175 6325 6435 7145 7475 9867 10725 11385 12861 13455 15719 16445 18577 18975 21435 22425 29601 32175 32867 35725 47157 49335 55731 56925 64305 67275 78595 82225 92885 98601 107175 141471 148005 164335 167193 204347 235785 246675 278655 295803 321525 361537 392975 427271 464425 493005 613041 707355 740025 821675 835965 1021735 1084611 1178925 1281813 1393275 1479015 1807685 1839123 2136355 2465025 3065205 3253833 3536775 3845439 4179825 4699981 5108675 5423055 6409065 7395075 9038425 9195615 10681775 14099943 15326025 16269165 19227195 23499905 27115275 32045325 42299829 45978075 70499715 81345825 96135975 117499525 211499145 352498575 1057495725