131808261 has 32 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 79305408.

The previous prime is 131808253. The next prime is 131808269. The reversal of 131808261 is 162808131.

It is an interprime number because it is at equal distance from previous prime (131808253) and next prime (131808269).

It is not a de Polignac number, because 131808261 - 2³ = 131808253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131808269) 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, 551380 + ... + 551618.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^131808261 is an apocalyptic number.

It is an amenable number.

131808261 is a deficient number, since it is larger than the sum of its proper divisors (61727739).

131808261 is a wasteful number, since it uses less digits than its factorization.

131808261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 131808261 is about 11480.7778917633. Note that the first 3 decimals coincide. The cubic root of 131808261 is about 508.9176855296.

The spelling of 131808261 in words is "one hundred thirty-one million, eight hundred eight thousand, two hundred sixty-one".