45213643225 has 45 divisors (see below), whose sum is σ = 60003945743. Its totient is φ = 33793655280.

The previous prime is 45213643121. The next prime is 45213643291. The reversal of 45213643225 is 52234631254.

The square root of 45213643225 is 212635.

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

It can be written as a sum of positive squares in only one way, i.e., 16276911561 + 28936731664 = 127581^2 + 170108^2 .

It is not a de Polignac number, because 45213643225 - 2⁹ = 45213642713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1051480054 + ... + 1051480096.

Almost surely, 2^45213643225 is an apocalyptic number.

45213643225 is the 212635-th square number.

45213643225 is the 106318-th centered octagonal number.

It is an amenable number.

45213643225 is a deficient number, since it is larger than the sum of its proper divisors (14790302518).

45213643225 is an frugal number, since it uses more digits than its factorization.

45213643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 71 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The spelling of 45213643225 in words is "forty-five billion, two hundred thirteen million, six hundred forty-three thousand, two hundred twenty-five".