93957575625 has 135 divisors (see below), whose sum is σ = 175028897043. Its totient is φ = 48553560000.

The previous prime is 93957575617. The next prime is 93957575641. The reversal of 93957575625 is 52657575939.

It is a happy number.

The square root of 93957575625 is 306525.

It is a perfect power (a square), and thus also a powerful number.

93957575625 is a `hidden beast` number, since 9 + 3 + 9 + 57 + 575 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 92974376889 + 983198736 = 304917^2 + 31356^2 .

It is not a de Polignac number, because 93957575625 - 2³ = 93957575617 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 1402351842 + ... + 1402351908.

Almost surely, 2^93957575625 is an apocalyptic number.

93957575625 is the 306525-th square number.

93957575625 is the 153263-rd centered octagonal number.

It is an amenable number.

93957575625 is a deficient number, since it is larger than the sum of its proper divisors (81071321418).

93957575625 is an frugal number, since it uses more digits than its factorization.

93957575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 136 counting only the distinct ones).

The product of its digits is 89302500, while the sum is 63.

The spelling of 93957575625 in words is "ninety-three billion, nine hundred fifty-seven million, five hundred seventy-five thousand, six hundred twenty-five".