1313257653 has 6 divisors (see below), whose sum is σ = 1896927734. Its totient is φ = 875505096.

The previous prime is 1313257601. The next prime is 1313257679. The reversal of 1313257653 is 3567523131.

1313257653 is a `hidden beast` number, since 1 + 3 + 1 + 32 + 576 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 734518404 + 578739249 = 27102^2 + 24057^2 .

It is not a de Polignac number, because 1313257653 - 2¹⁰ = 1313256629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313256653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72958750 + ... + 72958767.

Almost surely, 2^1313257653 is an apocalyptic number.

It is an amenable number.

1313257653 is a deficient number, since it is larger than the sum of its proper divisors (583670081).

1313257653 is a wasteful number, since it uses less digits than its factorization.

1313257653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145917523 (or 145917520 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 1313257653 is about 36238.8969616902. The cubic root of 1313257653 is about 1095.0904210063.

The spelling of 1313257653 in words is "one billion, three hundred thirteen million, two hundred fifty-seven thousand, six hundred fifty-three".