561409152 has 64 divisors (see below), whose sum is σ = 1508090400. Its totient is φ = 185022464.

The previous prime is 561409127. The next prime is 561409157. The reversal of 561409152 is 251904165.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (561409157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25963 + ... + 42389.

Almost surely, 2^561409152 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 561409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754045200).

561409152 is an abundant number, since it is smaller than the sum of its proper divisors (946681248).

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

561409152 is a wasteful number, since it uses less digits than its factorization.

561409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 561409152 is about 23694.0741958828. The cubic root of 561409152 is about 824.9478519839.

The spelling of 561409152 in words is "five hundred sixty-one million, four hundred nine thousand, one hundred fifty-two".