13057263 has 24 divisors (see below), whose sum is σ = 19597968. Its totient is φ = 8370432.

The previous prime is 13057249. The next prime is 13057273. The reversal of 13057263 is 36275031.

It is a happy number.

13057263 is a `hidden beast` number, since 1 + 30 + 572 + 63 = 666.

It is not a de Polignac number, because 13057263 - 2⁸ = 13057007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37456 + ... + 37802.

It is an arithmetic number, because the mean of its divisors is an integer number (816582).

Almost surely, 2^13057263 is an apocalyptic number.

13057263 is a deficient number, since it is larger than the sum of its proper divisors (6540705).

13057263 is a wasteful number, since it uses less digits than its factorization.

13057263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13057263 is about 3613.4834993397. The cubic root of 13057263 is about 235.4782053478.

The spelling of 13057263 in words is "thirteen million, fifty-seven thousand, two hundred sixty-three".