13257975 has 24 divisors (see below), whose sum is σ = 22435072. Its totient is φ = 6904800.

The previous prime is 13257971. The next prime is 13258031. The reversal of 13257975 is 57975231.

It is not a de Polignac number, because 13257975 - 2² = 13257971 is a prime.

It is a super-3 number, since 3×13257975³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257971) 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, 1170 + ... + 5280.

Almost surely, 2^13257975 is an apocalyptic number.

13257975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13257975 is a deficient number, since it is larger than the sum of its proper divisors (9177097).

13257975 is a wasteful number, since it uses less digits than its factorization.

13257975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4162 counting only the distinct ones).

The product of its digits is 66150, while the sum is 39.

The square root of 13257975 is about 3641.1502303530. The cubic root of 13257975 is about 236.6786400960.

The spelling of 13257975 in words is "thirteen million, two hundred fifty-seven thousand, nine hundred seventy-five".