45613382197825 has 48 divisors (see below), whose sum is σ = 61748690549616. Its totient is φ = 33220758528000.

The previous prime is 45613382197787. The next prime is 45613382197841. The reversal of 45613382197825 is 52879128331654.

It is a Cunningham number, because it is equal to 6753768²+1.

It can be written as a sum of positive squares in 24 ways, for example, as 21705125583376 + 23908256614449 = 4658876^2 + 4889607^2 .

It is not a de Polignac number, because 45613382197825 - 2²⁵ = 45613348643393 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843088275 + ... + 843142375.

It is an arithmetic number, because the mean of its divisors is an integer number (1286431053117).

Almost surely, 2^{45613382197825} is an apocalyptic number.

It is an amenable number.

45613382197825 is a deficient number, since it is larger than the sum of its proper divisors (16135308351791).

45613382197825 is a wasteful number, since it uses less digits than its factorization.

45613382197825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89734 (or 89729 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 64.

The spelling of 45613382197825 in words is "forty-five trillion, six hundred thirteen billion, three hundred eighty-two million, one hundred ninety-seven thousand, eight hundred twenty-five".