85910541025 has 45 divisors (see below), whose sum is σ = 111914210265. Its totient is φ = 65421036000.

The previous prime is 85910541007. The next prime is 85910541043. The reversal of 85910541025 is 52014501958.

The square root of 85910541025 is 293105.

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

It is an interprime number because it is at equal distance from previous prime (85910541007) and next prime (85910541043).

It can be written as a sum of positive squares in 4 ways, for example, as 39571951329 + 46338589696 = 198927^2 + 215264^2 .

It is not a de Polignac number, because 85910541025 - 2⁵ = 85910540993 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1408369495 + ... + 1408369555.

Almost surely, 2^85910541025 is an apocalyptic number.

85910541025 is the 293105-th square number.

85910541025 is the 146553-rd centered octagonal number.

It is an amenable number.

85910541025 is a deficient number, since it is larger than the sum of its proper divisors (26003669240).

85910541025 is an frugal number, since it uses more digits than its factorization.

85910541025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The spelling of 85910541025 in words is "eighty-five billion, nine hundred ten million, five hundred forty-one thousand, twenty-five".