261147302561367 has 24 divisors (see below), whose sum is σ = 377785898630400. Its totient is φ = 173833824806928.

The previous prime is 261147302561363. The next prime is 261147302561377. The reversal of 261147302561367 is 763165203741162.

261147302561367 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 4 + 73 + 0 + 2 + 561 + 3 + 6 + 7 = 666.

It is not a de Polignac number, because 261147302561367 - 2² = 261147302561363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261147302561363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15802338 + ... + 27785040.

It is an arithmetic number, because the mean of its divisors is an integer number (15741079109600).

Almost surely, 2^{261147302561367} is an apocalyptic number.

261147302561367 is a deficient number, since it is larger than the sum of its proper divisors (116638596069033).

261147302561367 is a wasteful number, since it uses less digits than its factorization.

261147302561367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986387 (or 11986384 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 261147302561367 in words is "two hundred sixty-one trillion, one hundred forty-seven billion, three hundred two million, five hundred sixty-one thousand, three hundred sixty-seven".