42563520 has 84 divisors (see below), whose sum is σ = 146410680. Its totient is φ = 11349504.

The previous prime is 42563509. The next prime is 42563539. The reversal of 42563520 is 2536524.

42563520 is a `hidden beast` number, since 4 + 2 + 5 + 635 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4510 + ... + 10269.

Almost surely, 2^42563520 is an apocalyptic number.

42563520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42563520 is an abundant number, since it is smaller than the sum of its proper divisors (103847160).

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

42563520 is a wasteful number, since it uses less digits than its factorization.

42563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42563520 is about 6524.0723478515. The cubic root of 42563520 is about 349.1503745763.

It can be divided in two parts, 4256 and 3520, that added together give a 5-th power (7776 = 6⁵).

The spelling of 42563520 in words is "forty-two million, five hundred sixty-three thousand, five hundred twenty".