53131524 has 48 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 16708896.

The previous prime is 53131483. The next prime is 53131553. The reversal of 53131524 is 42513135.

It is a junction number, because it is equal to n+sod(n) for n = 53131494 and 53131503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106227 + ... + 106725.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^53131524 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 53131524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

53131524 is an abundant number, since it is smaller than the sum of its proper divisors (77908476).

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

53131524 is a wasteful number, since it uses less digits than its factorization.

53131524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 53131524 is about 7289.1373975252. The cubic root of 53131524 is about 375.9390368191.

Adding to 53131524 its reverse (42513135), we get a palindrome (95644659).

The spelling of 53131524 in words is "fifty-three million, one hundred thirty-one thousand, five hundred twenty-four".