131583507 has 48 divisors (see below), whose sum is σ = 202079136. Its totient is φ = 76032000.

The previous prime is 131583497. The next prime is 131583509. The reversal of 131583507 is 705385131.

It is not a de Polignac number, because 131583507 - 2⁶ = 131583443 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131583509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302757 + ... + 1302857.

It is an arithmetic number, because the mean of its divisors is an integer number (4209982).

Almost surely, 2^131583507 is an apocalyptic number.

131583507 is a deficient number, since it is larger than the sum of its proper divisors (70495629).

131583507 is a wasteful number, since it uses less digits than its factorization.

131583507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 131583507 is about 11470.9854415390. The cubic root of 131583507 is about 508.6282591588.

The spelling of 131583507 in words is "one hundred thirty-one million, five hundred eighty-three thousand, five hundred seven".