53431632 has 60 divisors (see below), whose sum is σ = 152377524. Its totient is φ = 17472000.

The previous prime is 53431619. The next prime is 53431633. The reversal of 53431632 is 23613435.

It is a happy number.

53431632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 22695696 = 5544^2 + 4764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53431596 and 53431605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53431633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4132 + ... + 11132.

Almost surely, 2^53431632 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 53431632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76188762).

53431632 is an abundant number, since it is smaller than the sum of its proper divisors (98945892).

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

53431632 is a wasteful number, since it uses less digits than its factorization.

53431632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7059 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 53431632 is about 7309.6943848563. The cubic root of 53431632 is about 376.6455260888.

The spelling of 53431632 in words is "fifty-three million, four hundred thirty-one thousand, six hundred thirty-two".