2568118426225 has 27 divisors (see below), whose sum is σ = 3500401878561. Its totient is φ = 1867658390400.

The previous prime is 2568118426207. The next prime is 2568118426231. The reversal of 2568118426225 is 5226248118652.

The square root of 2568118426225 is 1602535.

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 321009496929 + 2247108929296 = 566577^2 + 1499036^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2568118426225 is a prime.

It is a super-2 number, since 2×2568118426225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88124857 + ... + 88153993.

Almost surely, 2^{2568118426225} is an apocalyptic number.

2568118426225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2568118426225 is the 1602535-th square number.

2568118426225 is the 801268-th centered octagonal number.

It is an amenable number.

2568118426225 is a deficient number, since it is larger than the sum of its proper divisors (932283452336).

2568118426225 is an frugal number, since it uses more digits than its factorization.

2568118426225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58306 (or 29153 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 2568118426225 in words is "two trillion, five hundred sixty-eight billion, one hundred eighteen million, four hundred twenty-six thousand, two hundred twenty-five".