131517261 has 12 divisors (see below), whose sum is σ = 190172892. Its totient is φ = 87584256.

The previous prime is 131517247. The next prime is 131517293. The reversal of 131517261 is 162715131.

It can be written as a sum of positive squares in 2 ways, for example, as 125014761 + 6502500 = 11181^2 + 2550^2 .

It is not a de Polignac number, because 131517261 - 2¹³ = 131509069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131517161) 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 11 ways as a sum of consecutive naturals, for example, 1645 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (15847741).

Almost surely, 2^131517261 is an apocalyptic number.

It is an amenable number.

131517261 is a deficient number, since it is larger than the sum of its proper divisors (58655631).

131517261 is a wasteful number, since it uses less digits than its factorization.

131517261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15660 (or 15657 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 131517261 is about 11468.0975318490. The cubic root of 131517261 is about 508.5428881662.

The spelling of 131517261 in words is "one hundred thirty-one million, five hundred seventeen thousand, two hundred sixty-one".