131288570 has 64 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 43603008.

The previous prime is 131288557. The next prime is 131288609. The reversal of 131288570 is 75882131.

131288570 = 456² + 457² + ... + 787².

It is a super-2 number, since 2×131288570² = 34473377225289800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131288570.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342599 + ... + 342981.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^131288570 is an apocalyptic number.

131288570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131288570 is an abundant number, since it is smaller than the sum of its proper divisors (147403270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131288570 is a wasteful number, since it uses less digits than its factorization.

131288570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 131288570 is about 11458.1224465442. The cubic root of 131288570 is about 508.2479543668.

The spelling of 131288570 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, five hundred seventy".