45632524384225 has 9 divisors (see below), whose sum is σ = 56584372118617. Its totient is φ = 36505992486640.

The previous prime is 45632524384219. The next prime is 45632524384229. The reversal of 45632524384225 is 52248342523654.

The square root of 45632524384225 is 6755185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7043381599969 + 38589142784256 = 2653937^2 + 6212016^2 .

It is not a de Polignac number, because 45632524384225 - 2³ = 45632524384217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45632524384229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33100407 + ... + 34451443.

Almost surely, 2^{45632524384225} is an apocalyptic number.

45632524384225 is the 6755185-th square number.

45632524384225 is the 3377593-rd centered octagonal number.

It is an amenable number.

45632524384225 is a deficient number, since it is larger than the sum of its proper divisors (10951847734392).

45632524384225 is an frugal number, since it uses more digits than its factorization.

45632524384225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702084 (or 1351042 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 55.

The spelling of 45632524384225 in words is "forty-five trillion, six hundred thirty-two billion, five hundred twenty-four million, three hundred eighty-four thousand, two hundred twenty-five".