42613520 has 20 divisors (see below), whose sum is σ = 99076620. Its totient is φ = 17045376.

The previous prime is 42613513. The next prime is 42613567. The reversal of 42613520 is 2531624.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 35473936 = 2672^2 + 5956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×42613520³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266255 + ... + 266414.

It is an arithmetic number, because the mean of its divisors is an integer number (4953831).

Almost surely, 2^42613520 is an apocalyptic number.

42613520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42613520 is an abundant number, since it is smaller than the sum of its proper divisors (56463100).

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

42613520 is a wasteful number, since it uses less digits than its factorization.

42613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532682 (or 532676 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42613520 is about 6527.9031855566. The cubic root of 42613520 is about 349.2870384559.

The spelling of 42613520 in words is "forty-two million, six hundred thirteen thousand, five hundred twenty".