86851037025 has 189 divisors, whose sum is σ = 168811442121. Its totient is φ = 44304770880.

The previous prime is 86851037017. The next prime is 86851037033. The reversal of 86851037025 is 52073015868.

The square root of 86851037025 is 294705.

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

86851037025 is a `hidden beast` number, since 8 + 68 + 510 + 3 + 70 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (86851037017) and next prime (86851037033).

It can be written as a sum of positive squares in 4 ways, for example, as 8244821601 + 78606215424 = 90801^2 + 280368^2 .

It is not a de Polignac number, because 86851037025 - 2³ = 86851037017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1472051446 + ... + 1472051504.

Almost surely, 2^86851037025 is an apocalyptic number.

86851037025 is the 294705-th square number.

86851037025 is the 147353-rd centered octagonal number.

It is an amenable number.

86851037025 is a deficient number, since it is larger than the sum of its proper divisors (81960405096).

86851037025 is an frugal number, since it uses more digits than its factorization.

86851037025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 86851037025 in words is "eighty-six billion, eight hundred fifty-one million, thirty-seven thousand, twenty-five".