261261137 has 8 divisors (see below), whose sum is σ = 265545600. Its totient is φ = 257001264.

The previous prime is 261261097. The next prime is 261261167. The reversal of 261261137 is 731162162.

261261137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 261261137 - 2¹⁸ = 260998993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261261167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15914 + ... + 27852.

It is an arithmetic number, because the mean of its divisors is an integer number (33193200).

Almost surely, 2^261261137 is an apocalyptic number.

It is an amenable number.

261261137 is a deficient number, since it is larger than the sum of its proper divisors (4284463).

261261137 is a wasteful number, since it uses less digits than its factorization.

261261137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295.

The product of its digits is 3024, while the sum is 29.

The square root of 261261137 is about 16163.5743881111. The cubic root of 261261137 is about 639.2807161647.

The spelling of 261261137 in words is "two hundred sixty-one million, two hundred sixty-one thousand, one hundred thirty-seven".