42561552 has 80 divisors (see below), whose sum is σ = 120974400. Its totient is φ = 12787200.

The previous prime is 42561551. The next prime is 42561587. The reversal of 42561552 is 25516524.

It is a super-2 number, since 2×42561552² = 3622971417297408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42561551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78402 + ... + 78942.

It is an arithmetic number, because the mean of its divisors is an integer number (1512180).

Almost surely, 2^42561552 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 42561552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487200).

42561552 is an abundant number, since it is smaller than the sum of its proper divisors (78412848).

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

42561552 is a wasteful number, since it uses less digits than its factorization.

42561552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

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

The square root of 42561552 is about 6523.9215200675. The cubic root of 42561552 is about 349.1449932973.

The spelling of 42561552 in words is "forty-two million, five hundred sixty-one thousand, five hundred fifty-two".