45759627225 has 81 divisors (see below), whose sum is σ = 88831186743. Its totient is φ = 22507280640.

The previous prime is 45759627139. The next prime is 45759627269. The reversal of 45759627225 is 52272695754.

The square root of 45759627225 is 213915.

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

45759627225 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 9 + 627 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 45718564761 + 41062464 = 213819^2 + 6408^2 .

It is not a de Polignac number, because 45759627225 - 2⁷ = 45759627097 is a prime.

It is a super-2 number, since 2×45759627225² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41712877 + ... + 41713973.

Almost surely, 2^45759627225 is an apocalyptic number.

45759627225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45759627225 is the 213915-th square number.

45759627225 is the 106958-th centered octagonal number.

It is an amenable number.

45759627225 is a deficient number, since it is larger than the sum of its proper divisors (43071559518).

45759627225 is a wasteful number, since it uses less digits than its factorization.

45759627225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 1118 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 45759627225 in words is "forty-five billion, seven hundred fifty-nine million, six hundred twenty-seven thousand, two hundred twenty-five".