82394573625 has 512 divisors, whose sum is σ = 203692769280. Its totient is φ = 31875379200.

The previous prime is 82394573593. The next prime is 82394573731. The reversal of 82394573625 is 52637549328.

82394573625 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 4 + 5 + 7 + 3 + 625 = 666.

It is not a de Polignac number, because 82394573625 - 2⁵ = 82394573593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 224508192 + ... + 224508558.

It is an arithmetic number, because the mean of its divisors is an integer number (397837440).

Almost surely, 2^82394573625 is an apocalyptic number.

82394573625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82394573625 is an abundant number, since it is smaller than the sum of its proper divisors (121298195655).

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

82394573625 is a wasteful number, since it uses less digits than its factorization.

82394573625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 82394573625 in words is "eighty-two billion, three hundred ninety-four million, five hundred seventy-three thousand, six hundred twenty-five".