82580258025 has 24 divisors (see below), whose sum is σ = 151702993760. Its totient is φ = 44042803920.

The previous prime is 82580257999. The next prime is 82580258039. The reversal of 82580258025 is 52085208528.

It is not a de Polignac number, because 82580258025 - 2⁵ = 82580257993 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 23 ways as a sum of consecutive naturals, for example, 61169887 + ... + 61171236.

Almost surely, 2^82580258025 is an apocalyptic number.

It is an amenable number.

82580258025 is a deficient number, since it is larger than the sum of its proper divisors (69122735735).

82580258025 is a wasteful number, since it uses less digits than its factorization.

82580258025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122341142 (or 122341131 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 82580258025 in words is "eighty-two billion, five hundred eighty million, two hundred fifty-eight thousand, twenty-five".