95527355625 has 135 divisors (see below), whose sum is σ = 187299305193. Its totient is φ = 46880496000.

The previous prime is 95527355617. The next prime is 95527355633. The reversal of 95527355625 is 52655372559.

The square root of 95527355625 is 309075.

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

95527355625 is a `hidden beast` number, since 9 + 5 + 5 + 2 + 7 + 3 + 5 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (95527355617) and next prime (95527355633).

It can be written as a sum of positive squares in 22 ways, for example, as 11223071721 + 84304283904 = 105939^2 + 290352^2 .

It is not a de Polignac number, because 95527355625 - 2³ = 95527355617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 301347967 + ... + 301348283.

Almost surely, 2^95527355625 is an apocalyptic number.

95527355625 is the 309075-th square number.

95527355625 is the 154538-th centered octagonal number.

It is an amenable number.

95527355625 is a deficient number, since it is larger than the sum of its proper divisors (91771949568).

95527355625 is an equidigital number, since it uses as much as digits as its factorization.

95527355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 338 counting only the distinct ones).

The product of its digits is 14175000, while the sum is 54.

The spelling of 95527355625 in words is "ninety-five billion, five hundred twenty-seven million, three hundred fifty-five thousand, six hundred twenty-five".