56577206401 has 2 divisors, whose sum is σ = 56577206402. Its totient is φ = 56577206400.

The previous prime is 56577206369. The next prime is 56577206417. The reversal of 56577206401 is 10460277565.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41170439025 + 15406767376 = 202905^2 + 124124^2 .

It is a cyclic number.

It is not a de Polignac number, because 56577206401 - 2⁵ = 56577206369 is a prime.

It is not a weakly prime, because it can be changed into another prime (56577206701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28288603200 + 28288603201.

It is an arithmetic number, because the mean of its divisors is an integer number (28288603201).

Almost surely, 2^56577206401 is an apocalyptic number.

It is an amenable number.

56577206401 is a deficient number, since it is larger than the sum of its proper divisors (1).

56577206401 is an equidigital number, since it uses as much as digits as its factorization.

56577206401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 56577206401 in words is "fifty-six billion, five hundred seventy-seven million, two hundred six thousand, four hundred one".