56540398842225 has 81 divisors (see below), whose sum is σ = 101563710692899. Its totient is φ = 30067715251200.

The previous prime is 56540398842211. The next prime is 56540398842229. The reversal of 56540398842225 is 52224889304565.

The square root of 56540398842225 is 7519335.

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

56540398842225 is a `hidden beast` number, since 5 + 6 + 540 + 3 + 9 + 8 + 84 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 56205143946081 + 335254896144 = 7497009^2 + 579012^2 .

It is not a de Polignac number, because 56540398842225 - 2⁹ = 56540398841713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56540398842229) 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, 64177523785 + ... + 64177524665.

Almost surely, 2^{56540398842225} is an apocalyptic number.

56540398842225 is the 7519335-th square number.

56540398842225 is the 3759668-th centered octagonal number.

It is an amenable number.

56540398842225 is a deficient number, since it is larger than the sum of its proper divisors (45023311850674).

56540398842225 is an frugal number, since it uses more digits than its factorization.

56540398842225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 56540398842225 in words is "fifty-six trillion, five hundred forty billion, three hundred ninety-eight million, eight hundred forty-two thousand, two hundred twenty-five".