82569264725 has 36 divisors (see below), whose sum is σ = 111784737060. Its totient is φ = 60420729600.

The previous prime is 82569264721. The next prime is 82569264769. The reversal of 82569264725 is 52746296528.

It can be written as a sum of positive squares in 6 ways, for example, as 5839710724 + 76729554001 = 76418^2 + 277001^2 .

It is not a de Polignac number, because 82569264725 - 2² = 82569264721 is a prime.

It is a super-3 number, since 3×82569264725³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82569264721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103985 + ... + 419465.

It is an arithmetic number, because the mean of its divisors is an integer number (3105131585).

Almost surely, 2^82569264725 is an apocalyptic number.

It is an amenable number.

82569264725 is a deficient number, since it is larger than the sum of its proper divisors (29215472335).

82569264725 is a wasteful number, since it uses less digits than its factorization.

82569264725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315558 (or 315534 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 56.

The spelling of 82569264725 in words is "eighty-two billion, five hundred sixty-nine million, two hundred sixty-four thousand, seven hundred twenty-five".