84582517825 has 96 divisors (see below), whose sum is σ = 125771450112. Its totient is φ = 55790592000.

The previous prime is 84582517819. The next prime is 84582517837. The reversal of 84582517825 is 52871528548.

It is not a de Polignac number, because 84582517825 - 2¹⁷ = 84582386753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16644285 + ... + 16649365.

It is an arithmetic number, because the mean of its divisors is an integer number (1310119272).

Almost surely, 2^84582517825 is an apocalyptic number.

84582517825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84582517825 is a deficient number, since it is larger than the sum of its proper divisors (41188932287).

84582517825 is a wasteful number, since it uses less digits than its factorization.

84582517825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5270 counting only the distinct ones).

The product of its digits is 7168000, while the sum is 55.

The spelling of 84582517825 in words is "eighty-four billion, five hundred eighty-two million, five hundred seventeen thousand, eight hundred twenty-five".