86597775625 has 45 divisors (see below), whose sum is σ = 110340204051. Its totient is φ = 67942212000.

The previous prime is 86597775601. The next prime is 86597775647. The reversal of 86597775625 is 52657779568.

The square root of 86597775625 is 294275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 86226211449 + 371564176 = 293643^2 + 19276^2 .

It is a de Polignac number, because none of the positive numbers 2^k-86597775625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 581193051 + ... + 581193199.

Almost surely, 2^86597775625 is an apocalyptic number.

86597775625 is the 294275-th square number.

86597775625 is the 147138-th centered octagonal number.

It is an amenable number.

86597775625 is a deficient number, since it is larger than the sum of its proper divisors (23742428426).

86597775625 is an frugal number, since it uses more digits than its factorization.

86597775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 233 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 67.

The spelling of 86597775625 in words is "eighty-six billion, five hundred ninety-seven million, seven hundred seventy-five thousand, six hundred twenty-five".