51480524550049 has 27 divisors (see below), whose sum is σ = 60514976016243. Its totient is φ = 43667122197888.

The previous prime is 51480524549999. The next prime is 51480524550053. The reversal of 51480524550049 is 94005542508415.

The square root of 51480524550049 is 7174993.

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., 23116719760225 + 28363804789824 = 4807985^2 + 5325768^2 .

It is not a de Polignac number, because 51480524550049 - 2⁹ = 51480524549537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51480524549978 and 51480524550005.

It is not an unprimeable number, because it can be changed into a prime (51480524590049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4871814964 + ... + 4871825530.

It is an arithmetic number, because the mean of its divisors is an integer number (2241295408009).

Almost surely, 2^{51480524550049} is an apocalyptic number.

51480524550049 is the 7174993-rd square number.

51480524550049 is the 3587497-th centered octagonal number.

It is an amenable number.

51480524550049 is a deficient number, since it is larger than the sum of its proper divisors (9034451466194).

51480524550049 is an frugal number, since it uses more digits than its factorization.

51480524550049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 52.

The spelling of 51480524550049 in words is "fifty-one trillion, four hundred eighty billion, five hundred twenty-four million, five hundred fifty thousand, forty-nine".