1253864657213 has 90 divisors (see below), whose sum is σ = 1547007610266. Its totient is φ = 1015831829376.

The previous prime is 1253864657183. The next prime is 1253864657233. The reversal of 1253864657213 is 3127564683521.

It can be written as a sum of positive squares in 3 ways, for example, as 370787219929 + 883077437284 = 608923^2 + 939722^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1253864657213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253864657233) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17176228145 + ... + 17176228217.

Almost surely, 2^{1253864657213} is an apocalyptic number.

It is an amenable number.

1253864657213 is a deficient number, since it is larger than the sum of its proper divisors (293142953053).

1253864657213 is an frugal number, since it uses more digits than its factorization.

1253864657213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 176 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 53.

Multiplying 1253864657213 by its sum of digits (53), we get a square (66454826832289 = 8151983²).

1253864657213 divided by its sum of digits (53) gives a square (23657823721 = 153811²).

The spelling of 1253864657213 in words is "one trillion, two hundred fifty-three billion, eight hundred sixty-four million, six hundred fifty-seven thousand, two hundred thirteen".