82782557825 has 24 divisors (see below), whose sum is σ = 118569420000. Its totient is φ = 56663993600.

The previous prime is 82782557801. The next prime is 82782557831. The reversal of 82782557825 is 52875528728.

It is not a de Polignac number, because 82782557825 - 2²⁰ = 82781509249 is a prime.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8849075 + ... + 8858424.

It is an arithmetic number, because the mean of its divisors is an integer number (4940392500).

Almost surely, 2^82782557825 is an apocalyptic number.

82782557825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82782557825 is a deficient number, since it is larger than the sum of its proper divisors (35786862175).

82782557825 is a wasteful number, since it uses less digits than its factorization.

82782557825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707537 (or 17707532 counting only the distinct ones).

The product of its digits is 25088000, while the sum is 59.

The spelling of 82782557825 in words is "eighty-two billion, seven hundred eighty-two million, five hundred fifty-seven thousand, eight hundred twenty-five".