85687925625 has 75 divisors (see below), whose sum is σ = 160075527403. Its totient is φ = 45665100000.

The previous prime is 85687925611. The next prime is 85687925639. The reversal of 85687925625 is 52652978658.

The square root of 85687925625 is 292725.

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

85687925625 is a `hidden beast` number, since 8 + 5 + 68 + 7 + 9 + 2 + 562 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85687925611) and next prime (85687925639).

It can be written as a sum of positive squares in 7 ways, for example, as 80663384169 + 5024541456 = 284013^2 + 70884^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 85687925625 - 2⁵ = 85687925593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 65862475 + ... + 65863775.

Almost surely, 2^85687925625 is an apocalyptic number.

85687925625 is the 292725-th square number.

85687925625 is the 146363-rd centered octagonal number.

It is an amenable number.

85687925625 is a deficient number, since it is larger than the sum of its proper divisors (74387601778).

85687925625 is an frugal number, since it uses more digits than its factorization.

85687925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 1309 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 85687925625 in words is "eighty-five billion, six hundred eighty-seven million, nine hundred twenty-five thousand, six hundred twenty-five".