45039450625 has 45 divisors (see below), whose sum is σ = 61037125149. Its totient is φ = 33208968000.

The previous prime is 45039450611. The next prime is 45039450629. The reversal of 45039450625 is 52605493054.

The square root of 45039450625 is 212225.

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

45039450625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 14966341569 + 30073109056 = 122337^2 + 173416^2 .

It is not a de Polignac number, because 45039450625 - 2¹¹ = 45039448577 is a prime.

It is a super-2 number, since 2×45039450625² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45039450629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68972799 + ... + 68973451.

Almost surely, 2^45039450625 is an apocalyptic number.

45039450625 is the 212225-th square number.

45039450625 is the 106113-rd centered octagonal number.

It is an amenable number.

45039450625 is a deficient number, since it is larger than the sum of its proper divisors (15997674524).

45039450625 is an frugal number, since it uses more digits than its factorization.

45039450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 45039450625 in words is "forty-five billion, thirty-nine million, four hundred fifty thousand, six hundred twenty-five".