564251520 has 128 divisors (see below), whose sum is σ = 2055536640. Its totient is φ = 128968704.

The previous prime is 564251507. The next prime is 564251533. The reversal of 564251520 is 25152465.

It is an interprime number because it is at equal distance from previous prime (564251507) and next prime (564251533).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 7552 + ... + 34431.

It is an arithmetic number, because the mean of its divisors is an integer number (16058880).

Almost surely, 2^564251520 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 564251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027768320).

564251520 is an abundant number, since it is smaller than the sum of its proper divisors (1491285120).

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

564251520 is a wasteful number, since it uses less digits than its factorization.

564251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42012 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 564251520 is about 23753.9790351006. The cubic root of 564251520 is about 826.3377232129.

The spelling of 564251520 in words is "five hundred sixty-four million, two hundred fifty-one thousand, five hundred twenty".