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1053146325 = 352711434241
BaseRepresentation
bin111110110001011…
…011110011010101
32201101200101011110
4332301123303111
54124101140300
6252300325233
735045411310
oct7661336325
92641611143
101053146325
114a0523470
12254843819
1313a25770a
149dc23977
15626cd550
hex3ec5bcd5

1053146325 has 96 divisors (see below), whose sum is σ = 2221857792. Its totient is φ = 427392000.

The previous prime is 1053146299. The next prime is 1053146359. The reversal of 1053146325 is 5236413501.

It is not a de Polignac number, because 1053146325 - 25 = 1053146293 is a prime.

It is a super-2 number, since 2×10531463252 = 2218234363722011250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053146292 and 1053146301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246205 + ... + 250445.

It is an arithmetic number, because the mean of its divisors is an integer number (23144352).

Almost surely, 21053146325 is an apocalyptic number.

1053146325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053146325 is an abundant number, since it is smaller than the sum of its proper divisors (1168711467).

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

1053146325 is a wasteful number, since it uses less digits than its factorization.

1053146325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1053146325 is about 32452.2160260282. The cubic root of 1053146325 is about 1017.4105550345.

Adding to 1053146325 its reverse (5236413501), we get a palindrome (6289559826).

The spelling of 1053146325 in words is "one billion, fifty-three million, one hundred forty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 105 129 165 175 215 231 275 301 385 473 525 645 825 903 1075 1155 1419 1505 1925 2365 3225 3311 4241 4515 5775 7095 7525 9933 11825 12723 16555 21205 22575 29687 35475 46651 49665 63615 82775 89061 106025 139953 148435 182363 233255 248325 318075 326557 445305 547089 699765 742175 911815 979671 1166275 1276541 1632785 2005993 2226525 2735445 3498825 3829623 4559075 4898355 6017979 6382705 8163925 10029965 13677225 14041951 19148115 24491775 30089895 31913525 42125853 50149825 70209755 95740575 150449475 210629265 351048775 1053146325