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1056644325 = 3352111011409
BaseRepresentation
bin111110111110110…
…001110011100101
32201122021002112000
4332332301303211
54131000104300
6252503315513
735120220462
oct7676616345
92648232460
101056644325
114a24a2580
12255a4bb99
1313abb0939
14a0494669
1562b6ec00
hex3efb1ce5

1056644325 has 96 divisors (see below), whose sum is σ = 2140041600. Its totient is φ = 506880000.

The previous prime is 1056644293. The next prime is 1056644353. The reversal of 1056644325 is 5234466501.

1056644325 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 644 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 1056644325 - 25 = 1056644293 is a prime.

It is a super-2 number, since 2×10566443252 = 2232994459109411250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056644325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 749221 + ... + 750629.

It is an arithmetic number, because the mean of its divisors is an integer number (22292100).

Almost surely, 21056644325 is an apocalyptic number.

1056644325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056644325 is an abundant number, since it is smaller than the sum of its proper divisors (1083397275).

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

1056644325 is a wasteful number, since it uses less digits than its factorization.

1056644325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1056644325 is about 32506.0659723689. The cubic root of 1056644325 is about 1018.5357450240.

The spelling of 1056644325 in words is "one billion, fifty-six million, six hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 101 135 165 225 275 297 303 495 505 675 825 909 1111 1409 1485 1515 2475 2525 2727 3333 4227 4545 5555 7045 7425 7575 9999 12681 13635 15499 16665 21135 22725 27775 29997 35225 38043 46497 49995 63405 68175 77495 83325 105675 139491 142309 149985 190215 232485 249975 317025 387475 418473 426927 697455 711545 749925 951075 1162425 1280781 1565399 2092365 2134635 3487275 3557725 3842343 4696197 6403905 7826995 10461825 10673175 14088591 19211715 23480985 32019525 39134975 42265773 70442955 96058575 117404925 211328865 352214775 1056644325