42516512 has 48 divisors (see below), whose sum is σ = 88869312. Its totient is φ = 19979520.

The previous prime is 42516493. The next prime is 42516517. The reversal of 42516512 is 21561524.

It is a super-2 number, since 2×42516512² = 3615307585292288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42516517) 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, 44423 + ... + 45369.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 2^42516512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44434656).

42516512 is an abundant number, since it is smaller than the sum of its proper divisors (46352800).

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

42516512 is a wasteful number, since it uses less digits than its factorization.

42516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 42516512 is about 6520.4686948102. The cubic root of 42516512 is about 349.0217910166.

The spelling of 42516512 in words is "forty-two million, five hundred sixteen thousand, five hundred twelve".