7253111313 has 24 divisors (see below), whose sum is σ = 12009598016. Its totient is φ = 4132101600.

The previous prime is 7253111279. The next prime is 7253111347. The reversal of 7253111313 is 3131113527.

It is a happy number.

7253111313 is a `hidden beast` number, since 7 + 2 + 531 + 113 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (7253111279) and next prime (7253111347).

It is not a de Polignac number, because 7253111313 - 2⁸ = 7253111057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7253111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153058 + ... + 194763.

Almost surely, 2^7253111313 is an apocalyptic number.

It is an amenable number.

7253111313 is a deficient number, since it is larger than the sum of its proper divisors (4756486703).

7253111313 is a wasteful number, since it uses less digits than its factorization.

7253111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348165 (or 348162 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 7253111313 is about 85165.2001289259. The cubic root of 7253111313 is about 1935.7151429901.

The spelling of 7253111313 in words is "seven billion, two hundred fifty-three million, one hundred eleven thousand, three hundred thirteen".