561363504 has 80 divisors (see below), whose sum is σ = 1565253984. Its totient is φ = 172339200.

The previous prime is 561363497. The next prime is 561363529. The reversal of 561363504 is 405363165.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411784 + ... + 413144.

Almost surely, 2^561363504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561363504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782626992).

561363504 is an abundant number, since it is smaller than the sum of its proper divisors (1003890480).

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

561363504 is a wasteful number, since it uses less digits than its factorization.

561363504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 561363504 is about 23693.1108974740. The cubic root of 561363504 is about 824.9254926285.

The spelling of 561363504 in words is "five hundred sixty-one million, three hundred sixty-three thousand, five hundred four".