264505131 has 24 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 159908400.

The previous prime is 264505127. The next prime is 264505187. The reversal of 264505131 is 131505462.

264505131 is a `hidden beast` number, since 2 + 645 + 0 + 5 + 13 + 1 = 666.

264505131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264505131 - 2² = 264505127 is a prime.

It is a super-2 number, since 2×264505131² = 139925928650654322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264505095 and 264505104.

It is not an unprimeable number, because it can be changed into a prime (264501131) 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, 39570 + ... + 45768.

It is an arithmetic number, because the mean of its divisors is an integer number (17409600).

Almost surely, 2^264505131 is an apocalyptic number.

264505131 is a deficient number, since it is larger than the sum of its proper divisors (153325269).

264505131 is a wasteful number, since it uses less digits than its factorization.

264505131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 264505131 is about 16263.6137128253. The cubic root of 264505131 is about 641.9157530584.

The spelling of 264505131 in words is "two hundred sixty-four million, five hundred five thousand, one hundred thirty-one".