45273200625 has 45 divisors (see below), whose sum is σ = 81745935271. Its totient is φ = 24137196000.

The previous prime is 45273200593. The next prime is 45273200659. The reversal of 45273200625 is 52600237254.

The square root of 45273200625 is 212775.

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

45273200625 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 3 + 20 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44842721121 + 430479504 = 211761^2 + 20748^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 45273200625 - 2⁵ = 45273200593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45273200625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15956707 + ... + 15959543.

Almost surely, 2^45273200625 is an apocalyptic number.

45273200625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45273200625 is the 212775-th square number.

45273200625 is the 106388-th centered octagonal number.

It is an amenable number.

45273200625 is a deficient number, since it is larger than the sum of its proper divisors (36472734646).

45273200625 is an frugal number, since it uses more digits than its factorization.

45273200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 45273200625 by its sum of digits (36), we get a square (1629835222500 = 1276650²).

Adding to 45273200625 its reverse (52600237254), we get a palindrome (97873437879).

The spelling of 45273200625 in words is "forty-five billion, two hundred seventy-three million, two hundred thousand, six hundred twenty-five".