42531013524 has 96 divisors (see below), whose sum is σ = 109105113600. Its totient is φ = 12846211200.

The previous prime is 42531013463. The next prime is 42531013531.

42531013524 is nontrivially palindromic in base 10.

42531013524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42531013524² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42531013491 and 42531013500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454999 + ... + 540449.

It is an arithmetic number, because the mean of its divisors is an integer number (1136511600).

Almost surely, 2^42531013524 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 42531013524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552556800).

42531013524 is an abundant number, since it is smaller than the sum of its proper divisors (66574100076).

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

42531013524 is a wasteful number, since it uses less digits than its factorization.

42531013524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85573 (or 85571 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 425310 and 13524, that added together give a palindrome (438834).

The spelling of 42531013524 in words is "forty-two billion, five hundred thirty-one million, thirteen thousand, five hundred twenty-four".