51931573225 has 81 divisors (see below), whose sum is σ = 79782543237. Its totient is φ = 33427994880.

The previous prime is 51931573181. The next prime is 51931573229. The reversal of 51931573225 is 52237513915.

The square root of 51931573225 is 227885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1214731609 + 50716841616 = 34853^2 + 225204^2 .

It is not a de Polignac number, because 51931573225 - 2¹⁵ = 51931540457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51931573229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135591384 + ... + 135591766.

Almost surely, 2^51931573225 is an apocalyptic number.

51931573225 is the 227885-th square number.

51931573225 is the 113943-rd centered octagonal number.

It is an amenable number.

51931573225 is a deficient number, since it is larger than the sum of its proper divisors (27850970012).

51931573225 is an equidigital number, since it uses as much as digits as its factorization.

51931573225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its digits is 283500, while the sum is 43.

The spelling of 51931573225 in words is "fifty-one billion, nine hundred thirty-one million, five hundred seventy-three thousand, two hundred twenty-five".