56997954990601 has 27 divisors (see below), whose sum is σ = 59448091421109. Its totient is φ = 54647741241600.

The previous prime is 56997954990593. The next prime is 56997954990611. The reversal of 56997954990601 is 10609945979965.

The square root of 56997954990601 is 7549699.

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 53600716205001 + 3397238785600 = 7321251^2 + 1843160^2 .

It is not a de Polignac number, because 56997954990601 - 2³ = 56997954990593 is a prime.

It is a super-2 number, since 2×56997954990601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56997954990611) 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, 18262720321 + ... + 18262723441.

Almost surely, 2^{56997954990601} is an apocalyptic number.

56997954990601 is the 7549699-th square number.

56997954990601 is the 3774850-th centered octagonal number.

It is an amenable number.

56997954990601 is a deficient number, since it is larger than the sum of its proper divisors (2450136430508).

56997954990601 is an frugal number, since it uses more digits than its factorization.

56997954990601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 1488034800, while the sum is 79.

The spelling of 56997954990601 in words is "fifty-six trillion, nine hundred ninety-seven billion, nine hundred fifty-four million, nine hundred ninety thousand, six hundred one".