51173226225 has 135 divisors (see below), whose sum is σ = 104419704081. Its totient is φ = 24756969600.

The previous prime is 51173226211. The next prime is 51173226233. The reversal of 51173226225 is 52262237115.

The square root of 51173226225 is 226215.

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

51173226225 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 3 + 22 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3563731809 + 47609494416 = 59697^2 + 218196^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 51173226225 - 2¹⁵ = 51173193457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51173226225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 111976197 + ... + 111976653.

Almost surely, 2^51173226225 is an apocalyptic number.

51173226225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51173226225 is the 226215-th square number.

51173226225 is the 113108-th centered octagonal number.

It is an amenable number.

51173226225 is an abundant number, since it is smaller than the sum of its proper divisors (53246477856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51173226225 is an equidigital number, since it uses as much as digits as its factorization.

51173226225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 476 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

Multiplying 51173226225 by its sum of digits (36), we get a square (1842236144100 = 1357290²).

The spelling of 51173226225 in words is "fifty-one billion, one hundred seventy-three million, two hundred twenty-six thousand, two hundred twenty-five".