561120252 has 96 divisors (see below), whose sum is σ = 1653227520. Its totient is φ = 143881920.

The previous prime is 561120251. The next prime is 561120253. The reversal of 561120252 is 252021165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (561120251) and next prime (561120253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561120251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69153 + ... + 76839.

It is an arithmetic number, because the mean of its divisors is an integer number (17221120).

Almost surely, 2^561120252 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 561120252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826613760).

561120252 is an abundant number, since it is smaller than the sum of its proper divisors (1092107268).

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

561120252 is a wasteful number, since it uses less digits than its factorization.

561120252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 561120252 is about 23687.9769503434. The cubic root of 561120252 is about 824.8063222123.

The spelling of 561120252 in words is "five hundred sixty-one million, one hundred twenty thousand, two hundred fifty-two".