131264511 has 32 divisors (see below), whose sum is σ = 203374080. Its totient is φ = 73764864.

The previous prime is 131264501. The next prime is 131264513. The reversal of 131264511 is 115462131.

It is a happy number.

It is not a de Polignac number, because 131264511 - 2⁵ = 131264479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131264513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563251 + ... + 563483.

It is an arithmetic number, because the mean of its divisors is an integer number (6355440).

Almost surely, 2^131264511 is an apocalyptic number.

131264511 is a deficient number, since it is larger than the sum of its proper divisors (72109569).

131264511 is a wasteful number, since it uses less digits than its factorization.

131264511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575.

The product of its digits is 720, while the sum is 24.

The square root of 131264511 is about 11457.0725318469. The cubic root of 131264511 is about 508.2169065141.

The spelling of 131264511 in words is "one hundred thirty-one million, two hundred sixty-four thousand, five hundred eleven".