261316953 has 12 divisors (see below), whose sum is σ = 378119508. Its totient is φ = 173905920.

The previous prime is 261316931. The next prime is 261316967. The reversal of 261316953 is 359613162.

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 27594009 = 15288^2 + 5253^2 .

It is not a de Polignac number, because 261316953 - 2⁵ = 261316921 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (261316973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19968 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (31509959).

Almost surely, 2^261316953 is an apocalyptic number.

It is an amenable number.

261316953 is a deficient number, since it is larger than the sum of its proper divisors (116802555).

261316953 is a wasteful number, since it uses less digits than its factorization.

261316953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50904 (or 50901 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 261316953 is about 16165.3008941993. The cubic root of 261316953 is about 639.3262383730.

The spelling of 261316953 in words is "two hundred sixty-one million, three hundred sixteen thousand, nine hundred fifty-three".