82597301325 has 432 divisors, whose sum is σ = 196849650816. Its totient is φ = 32408640000.

The previous prime is 82597301323. The next prime is 82597301329. The reversal of 82597301325 is 52310379528.

82597301325 is a `hidden beast` number, since 8 + 2 + 597 + 30 + 1 + 3 + 25 = 666.

It is not a de Polignac number, because 82597301325 - 2¹ = 82597301323 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82597301321) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2014568305 + ... + 2014568345.

It is an arithmetic number, because the mean of its divisors is an integer number (455670488).

Almost surely, 2^82597301325 is an apocalyptic number.

It is an amenable number.

82597301325 is an abundant number, since it is smaller than the sum of its proper divisors (114252349491).

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

82597301325 is a wasteful number, since it uses less digits than its factorization.

82597301325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 82597301325 in words is "eighty-two billion, five hundred ninety-seven million, three hundred one thousand, three hundred twenty-five".