2257312513 has 8 divisors (see below), whose sum is σ = 2392367400. Its totient is φ = 2122510080.

The previous prime is 2257312481. The next prime is 2257312517. The reversal of 2257312513 is 3152137522.

It can be written as a sum of positive squares in 4 ways, for example, as 637411009 + 1619901504 = 25247^2 + 40248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2257312513 - 2⁵ = 2257312481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2257312517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44538 + ... + 80611.

It is an arithmetic number, because the mean of its divisors is an integer number (299045925).

Almost surely, 2^2257312513 is an apocalyptic number.

It is an amenable number.

2257312513 is a deficient number, since it is larger than the sum of its proper divisors (135054887).

2257312513 is a wasteful number, since it uses less digits than its factorization.

2257312513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126227.

The product of its digits is 12600, while the sum is 31.

The square root of 2257312513 is about 47511.1830309455. The cubic root of 2257312513 is about 1311.7887327830.

The spelling of 2257312513 in words is "two billion, two hundred fifty-seven million, three hundred twelve thousand, five hundred thirteen".