42561520 has 40 divisors (see below), whose sum is σ = 104167440. Its totient is φ = 16128000.

The previous prime is 42561517. The next prime is 42561521. The reversal of 42561520 is 2516524.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42561520² = 3622965969420800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42561521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12481 + ... + 15520.

It is an arithmetic number, because the mean of its divisors is an integer number (2604186).

Almost surely, 2^42561520 is an apocalyptic number.

42561520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42561520 is an abundant number, since it is smaller than the sum of its proper divisors (61605920).

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

42561520 is a wasteful number, since it uses less digits than its factorization.

42561520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28033 (or 28027 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 42561520 is about 6523.9190675544. The cubic root of 42561520 is about 349.1449057955.

It can be divided in two parts, 4256 and 1520, that added together give a square (5776 = 76²).

The spelling of 42561520 in words is "forty-two million, five hundred sixty-one thousand, five hundred twenty".