261533653446304 has 48 divisors (see below), whose sum is σ = 532678262044320. Its totient is φ = 126250774675200.

The previous prime is 261533653446287. The next prime is 261533653446427. The reversal of 261533653446304 is 403644356335162.

It is a super-2 number, since 2×261533653446304² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9485407 + ... + 24759649.

It is an arithmetic number, because the mean of its divisors is an integer number (11097463792590).

Almost surely, 2^{261533653446304} is an apocalyptic number.

It is an amenable number.

261533653446304 is an abundant number, since it is smaller than the sum of its proper divisors (271144608598016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261533653446304 is a wasteful number, since it uses less digits than its factorization.

261533653446304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15292733 (or 15292725 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 55.

The spelling of 261533653446304 in words is "two hundred sixty-one trillion, five hundred thirty-three billion, six hundred fifty-three million, four hundred forty-six thousand, three hundred four".