82920935225 has 12 divisors (see below), whose sum is σ = 103765283820. Its totient is φ = 65728152000.

The previous prime is 82920935221. The next prime is 82920935261. The reversal of 82920935225 is 52253902928.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1729561744 + 81191373481 = 41588^2 + 284941^2 .

It is not a de Polignac number, because 82920935225 - 2² = 82920935221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82920935225.

It is not an unprimeable number, because it can be changed into a prime (82920935221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15212126 + ... + 15217575.

It is an arithmetic number, because the mean of its divisors is an integer number (8647106985).

Almost surely, 2^82920935225 is an apocalyptic number.

It is an amenable number.

82920935225 is a deficient number, since it is larger than the sum of its proper divisors (20844348595).

82920935225 is a wasteful number, since it uses less digits than its factorization.

82920935225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30429820 (or 30429815 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 82920935225 in words is "eighty-two billion, nine hundred twenty million, nine hundred thirty-five thousand, two hundred twenty-five".