261281307 has 32 divisors (see below), whose sum is σ = 406328832. Its totient is φ = 146260224.

The previous prime is 261281281. The next prime is 261281327. The reversal of 261281307 is 703182162.

It is not a de Polignac number, because 261281307 - 2¹⁵ = 261248539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261281327) 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, 327433 + ... + 328229.

It is an arithmetic number, because the mean of its divisors is an integer number (12697776).

Almost surely, 2^261281307 is an apocalyptic number.

261281307 is a deficient number, since it is larger than the sum of its proper divisors (145047525).

261281307 is a wasteful number, since it uses less digits than its factorization.

261281307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 261281307 is about 16164.1983098451. The cubic root of 261281307 is about 639.2971670873.

The spelling of 261281307 in words is "two hundred sixty-one million, two hundred eighty-one thousand, three hundred seven".