565125120 has 448 divisors, whose sum is σ = 2327696640. Its totient is φ = 127401984.

The previous prime is 565125109. The next prime is 565125131. The reversal of 565125120 is 21521565.

565125120 is a `hidden beast` number, since 5 + 651 + 2 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (565125109) and next prime (565125131).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741404 + ... + 7741476.

Almost surely, 2^565125120 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 565125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163848320).

565125120 is an abundant number, since it is smaller than the sum of its proper divisors (1762571520).

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

565125120 is an equidigital number, since it uses as much as digits as its factorization.

565125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 565125120 is about 23772.3604212960. The cubic root of 565125120 is about 826.7639612621.

Adding to 565125120 its reverse (21521565), we get a palindrome (586646685).

The spelling of 565125120 in words is "five hundred sixty-five million, one hundred twenty-five thousand, one hundred twenty".