261379131 has 32 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 150710784.

The previous prime is 261379123. The next prime is 261379159. The reversal of 261379131 is 131973162.

It is not a de Polignac number, because 261379131 - 2³ = 261379123 is a prime.

It is a super-2 number, since 2×261379131² = 136638100244630322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261379092 and 261379101.

It is not an unprimeable number, because it can be changed into a prime (261379171) 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, 173620 + ... + 175118.

It is an arithmetic number, because the mean of its divisors is an integer number (12474000).

Almost surely, 2^261379131 is an apocalyptic number.

261379131 is a deficient number, since it is larger than the sum of its proper divisors (137788869).

261379131 is a wasteful number, since it uses less digits than its factorization.

261379131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795.

The product of its digits is 6804, while the sum is 33.

The square root of 261379131 is about 16167.2239732120. The cubic root of 261379131 is about 639.3769416460.

The spelling of 261379131 in words is "two hundred sixty-one million, three hundred seventy-nine thousand, one hundred thirty-one".