86939471025 has 81 divisors (see below), whose sum is σ = 171257220043. Its totient is φ = 42128882400.

The previous prime is 86939471011. The next prime is 86939471033. The reversal of 86939471025 is 52017493968.

The square root of 86939471025 is 294855.

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

86939471025 is a `hidden beast` number, since 86 + 93 + 9 + 471 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31298209569 + 55641261456 = 176913^2 + 235884^2 .

It is not a de Polignac number, because 86939471025 - 2⁷ = 86939470897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48650182 + ... + 48651968.

It is a 1-persistent number, because it is pandigital, but 2⋅86939471025 = 173878942050 is not.

Almost surely, 2^86939471025 is an apocalyptic number.

86939471025 is the 294855-th square number.

86939471025 is the 147428-th centered octagonal number.

It is an amenable number.

86939471025 is a deficient number, since it is larger than the sum of its proper divisors (84317749018).

86939471025 is a wasteful number, since it uses less digits than its factorization.

86939471025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 86939471025 in words is "eighty-six billion, nine hundred thirty-nine million, four hundred seventy-one thousand, twenty-five".