2570727564601 has 6 divisors (see below), whose sum is σ = 2990438187450. Its totient is φ = 2203480769616.

The previous prime is 2570727564593. The next prime is 2570727564607. The reversal of 2570727564601 is 1064657270752.

2570727564601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1874095288576 + 696632276025 = 1368976^2 + 834645^2 .

It is not a de Polignac number, because 2570727564601 - 2³ = 2570727564593 is a prime.

It is a super-2 number, since 2×2570727564601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2570727564607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26231913876 + ... + 26231913973.

It is an arithmetic number, because the mean of its divisors is an integer number (498406364575).

Almost surely, 2^{2570727564601} is an apocalyptic number.

It is an amenable number.

2570727564601 is a deficient number, since it is larger than the sum of its proper divisors (419710622849).

2570727564601 is an equidigital number, since it uses as much as digits as its factorization.

2570727564601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52463827863 (or 52463827856 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 2570727564601 in words is "two trillion, five hundred seventy billion, seven hundred twenty-seven million, five hundred sixty-four thousand, six hundred one".