261249801967 has 8 divisors (see below), whose sum is σ = 325714038912. Its totient is φ = 203571274200.

The previous prime is 261249801947. The next prime is 261249801973. The reversal of 261249801967 is 769108942162.

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

It is not a de Polignac number, because 261249801967 - 2²⁷ = 261115584239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261249801947) 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, 1696427209 + ... + 1696427362.

It is an arithmetic number, because the mean of its divisors is an integer number (40714254864).

Almost surely, 2^261249801967 is an apocalyptic number.

261249801967 is a deficient number, since it is larger than the sum of its proper divisors (64464236945).

261249801967 is a wasteful number, since it uses less digits than its factorization.

261249801967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392854589.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 261249801967 in words is "two hundred sixty-one billion, two hundred forty-nine million, eight hundred one thousand, nine hundred sixty-seven".