565537560 has 128 divisors (see below), whose sum is σ = 1975726080. Its totient is φ = 126816768.

The previous prime is 565537549. The next prime is 565537571. The reversal of 565537560 is 65735565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (565537549) and next prime (565537571).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 38169 + ... + 50871.

It is an arithmetic number, because the mean of its divisors is an integer number (15435360).

Almost surely, 2^565537560 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 565537560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987863040).

565537560 is an abundant number, since it is smaller than the sum of its proper divisors (1410188520).

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

565537560 is a wasteful number, since it uses less digits than its factorization.

565537560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 42.

The square root of 565537560 is about 23781.0336192521. The cubic root of 565537560 is about 826.9650421648.

The spelling of 565537560 in words is "five hundred sixty-five million, five hundred thirty-seven thousand, five hundred sixty".