42513936 has 80 divisors (see below), whose sum is σ = 116075904. Its totient is φ = 13381632.

The previous prime is 42513917. The next prime is 42513941. The reversal of 42513936 is 63931524.

It is a junction number, because it is equal to n+sod(n) for n = 42513897 and 42513906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106890 + ... + 107286.

Almost surely, 2^42513936 is an apocalyptic number.

42513936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42513936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58037952).

42513936 is an abundant number, since it is smaller than the sum of its proper divisors (73561968).

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

42513936 is a wasteful number, since it uses less digits than its factorization.

42513936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 42513936 is about 6520.2711600055. The cubic root of 42513936 is about 349.0147420039.

The spelling of 42513936 in words is "forty-two million, five hundred thirteen thousand, nine hundred thirty-six".