42513624 has 48 divisors (see below), whose sum is σ = 115463400. Its totient is φ = 14131584.

The previous prime is 42513599. The next prime is 42513641. The reversal of 42513624 is 42631524.

42513624 is a `hidden beast` number, since 4 + 25 + 13 + 624 = 666.

It is a super-2 number, since 2×42513624² = 3614816451226752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37092 + ... + 38220.

Almost surely, 2^42513624 is an apocalyptic number.

It is an amenable number.

42513624 is an abundant number, since it is smaller than the sum of its proper divisors (72949776).

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

42513624 is a wasteful number, since it uses less digits than its factorization.

42513624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42513624 is about 6520.2472345763. The cubic root of 42513624 is about 349.0138882222.

It can be divided in two parts, 4251 and 3624, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 42513624 in words is "forty-two million, five hundred thirteen thousand, six hundred twenty-four".