51780760933225 has 9 divisors (see below), whose sum is σ = 64208188171717. Its totient is φ = 41424579963040.

The previous prime is 51780760933211. The next prime is 51780760933241. The reversal of 51780760933225 is 52233906708715.

It is a happy number.

The square root of 51780760933225 is 7195885.

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

51780760933225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28774502170969 + 23006258762256 = 5364187^2 + 4796484^2 .

It is not a de Polignac number, because 51780760933225 - 2²³ = 51780752544617 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 51780760933225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35259837 + ... + 36699013.

Almost surely, 2^{51780760933225} is an apocalyptic number.

51780760933225 is the 7195885-th square number.

51780760933225 is the 3597943-rd centered octagonal number.

It is an amenable number.

51780760933225 is a deficient number, since it is larger than the sum of its proper divisors (12427427238492).

51780760933225 is an frugal number, since it uses more digits than its factorization.

51780760933225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878364 (or 1439182 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 51780760933225 in words is "fifty-one trillion, seven hundred eighty billion, seven hundred sixty million, nine hundred thirty-three thousand, two hundred twenty-five".