561515600 has 30 divisors (see below), whose sum is σ = 1349042190. Its totient is φ = 224606080.

The previous prime is 561515597. The next prime is 561515621. The reversal of 561515600 is 6515165.

It can be written as a sum of positive squares in 3 ways, for example, as 4177936 + 557337664 = 2044^2 + 23608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701495 + ... + 702294.

It is an arithmetic number, because the mean of its divisors is an integer number (44968073).

Almost surely, 2^561515600 is an apocalyptic number.

561515600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561515600 is an abundant number, since it is smaller than the sum of its proper divisors (787526590).

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

561515600 is a wasteful number, since it uses less digits than its factorization.

561515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403807 (or 1403796 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 561515600 is about 23696.3203894613. The cubic root of 561515600 is about 824.9999877564. Note that the first 4 decimals are identical.

The spelling of 561515600 in words is "five hundred sixty-one million, five hundred fifteen thousand, six hundred".