561259296 has 72 divisors (see below), whose sum is σ = 1718868060. Its totient is φ = 172694016.

The previous prime is 561259273. The next prime is 561259319. The reversal of 561259296 is 692952165.

It is a happy number.

561259296 is a `hidden beast` number, since 5 + 612 + 5 + 9 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (561259273) and next prime (561259319).

It can be written as a sum of positive squares in 2 ways, for example, as 479610000 + 81649296 = 21900^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71211 + ... + 78698.

Almost surely, 2^561259296 is an apocalyptic number.

It is an amenable number.

561259296 is an abundant number, since it is smaller than the sum of its proper divisors (1157608764).

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

561259296 is a wasteful number, since it uses less digits than its factorization.

561259296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149938 (or 149927 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 561259296 is about 23690.9116751551. The cubic root of 561259296 is about 824.8744448048.

The spelling of 561259296 in words is "five hundred sixty-one million, two hundred fifty-nine thousand, two hundred ninety-six".