82621518525 has 648 divisors, whose sum is σ = 210910340160. Its totient is φ = 30083788800.

The previous prime is 82621518521. The next prime is 82621518557. The reversal of 82621518525 is 52581512628.

82621518525 is a `hidden beast` number, since 8 + 2 + 621 + 5 + 18 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 82621518525 - 2² = 82621518521 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82621518521) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2665210260 + ... + 2665210290.

It is an arithmetic number, because the mean of its divisors is an integer number (325478920).

Almost surely, 2^82621518525 is an apocalyptic number.

82621518525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82621518525 is an abundant number, since it is smaller than the sum of its proper divisors (128288821635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82621518525 is a wasteful number, since it uses less digits than its factorization.

82621518525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 95 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The spelling of 82621518525 in words is "eighty-two billion, six hundred twenty-one million, five hundred eighteen thousand, five hundred twenty-five".