261564504 has 32 divisors (see below), whose sum is σ = 654635520. Its totient is φ = 87091616.

The previous prime is 261564493. The next prime is 261564517. The reversal of 261564504 is 405465162.

261564504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18049 + ... + 29135.

It is an arithmetic number, because the mean of its divisors is an integer number (20457360).

Almost surely, 2^261564504 is an apocalyptic number.

261564504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261564504 is an abundant number, since it is smaller than the sum of its proper divisors (393071016).

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

261564504 is a wasteful number, since it uses less digits than its factorization.

261564504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 261564504 is about 16172.9559450337. The cubic root of 261564504 is about 639.5280570176.

The spelling of 261564504 in words is "two hundred sixty-one million, five hundred sixty-four thousand, five hundred four".