2253907513 has 32 divisors (see below), whose sum is σ = 2713761792. Its totient is φ = 1844673600.

The previous prime is 2253907493. The next prime is 2253907519. The reversal of 2253907513 is 3157093522.

It is not a de Polignac number, because 2253907513 - 2²⁵ = 2220353081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2253907519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3299670 + ... + 3300352.

It is an arithmetic number, because the mean of its divisors is an integer number (84805056).

Almost surely, 2^2253907513 is an apocalyptic number.

It is an amenable number.

2253907513 is a deficient number, since it is larger than the sum of its proper divisors (459854279).

2253907513 is a wasteful number, since it uses less digits than its factorization.

2253907513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 2253907513 is about 47475.3358387279. The cubic root of 2253907513 is about 1311.1288199639.

It can be divided in two parts, 225390 and 7513, that added together give a triangular number (232903 = T₆₈₂).

The spelling of 2253907513 in words is "two billion, two hundred fifty-three million, nine hundred seven thousand, five hundred thirteen".