2257320013 has 16 divisors (see below), whose sum is σ = 2498967856. Its totient is φ = 2025492480.

The previous prime is 2257319983. The next prime is 2257320017. The reversal of 2257320013 is 3100237522.

2257320013 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 8 ways, for example, as 142515844 + 2114804169 = 11938^2 + 45987^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2257320013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2257320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257320017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015243 + ... + 1017463.

It is an arithmetic number, because the mean of its divisors is an integer number (156185491).

Almost surely, 2^2257320013 is an apocalyptic number.

It is an amenable number.

2257320013 is a deficient number, since it is larger than the sum of its proper divisors (241647843).

2257320013 is a wasteful number, since it uses less digits than its factorization.

2257320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2257320013 is about 47511.2619596659. The cubic root of 2257320013 is about 1311.7901856027.

Adding to 2257320013 its reverse (3100237522), we get a palindrome (5357557535).

The spelling of 2257320013 in words is "two billion, two hundred fifty-seven million, three hundred twenty thousand, thirteen".