42512512 has 64 divisors (see below), whose sum is σ = 102522240. Its totient is φ = 17141760.

The previous prime is 42512489. The next prime is 42512527. The reversal of 42512512 is 21521524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×42512512³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13837 + ... + 16627.

It is an arithmetic number, because the mean of its divisors is an integer number (1601910).

Almost surely, 2^42512512 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 42512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51261120).

42512512 is an abundant number, since it is smaller than the sum of its proper divisors (60009728).

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

42512512 is a wasteful number, since it uses less digits than its factorization.

42512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2817 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 42512512 is about 6520.1619611786. The cubic root of 42512512 is about 349.0108452225.

The spelling of 42512512 in words is "forty-two million, five hundred twelve thousand, five hundred twelve".