56519832121 has 9 divisors (see below), whose sum is σ = 58409482383. Its totient is φ = 54689479560.

The previous prime is 56519832113. The next prime is 56519832151. The reversal of 56519832121 is 12123891565.

The square root of 56519832121 is 237739.

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., 53610308521 + 2909523600 = 231539^2 + 53940^2 .

It is not a de Polignac number, because 56519832121 - 2³ = 56519832113 is a prime.

It is a super-3 number, since 3×56519832121³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56519832101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7366075 + ... + 7373743.

It is an arithmetic number, because the mean of its divisors is an integer number (6489942487).

Almost surely, 2^56519832121 is an apocalyptic number.

56519832121 is the 237739-th square number.

56519832121 is the 118870-th centered octagonal number.

It is an amenable number.

56519832121 is a deficient number, since it is larger than the sum of its proper divisors (1889650262).

56519832121 is an frugal number, since it uses more digits than its factorization.

56519832121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 7700 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The spelling of 56519832121 in words is "fifty-six billion, five hundred nineteen million, eight hundred thirty-two thousand, one hundred twenty-one".