561252664 has 48 divisors (see below), whose sum is σ = 1235693880. Its totient is φ = 238271040.

The previous prime is 561252623. The next prime is 561252683. The reversal of 561252664 is 466252165.

It is a super-3 number, since 3×561252664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35254 + ... + 48634.

Almost surely, 2^561252664 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 561252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617846940).

561252664 is an abundant number, since it is smaller than the sum of its proper divisors (674441216).

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

561252664 is a wasteful number, since it uses less digits than its factorization.

561252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13497 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 561252664 is about 23690.7717054553. The cubic root of 561252664 is about 824.8711958081.

The spelling of 561252664 in words is "five hundred sixty-one million, two hundred fifty-two thousand, six hundred sixty-four".