53632512 has 120 divisors (see below), whose sum is σ = 157672944. Its totient is φ = 17547264.

The previous prime is 53632507. The next prime is 53632519. The reversal of 53632512 is 21523635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53632519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474568 + ... + 474680.

Almost surely, 2^53632512 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 53632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78836472).

53632512 is an abundant number, since it is smaller than the sum of its proper divisors (104040432).

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

53632512 is a wasteful number, since it uses less digits than its factorization.

53632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 53632512 is about 7323.4221508800. The cubic root of 53632512 is about 377.1169443038.

It can be divided in two parts, 5363 and 2512, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 53632512 in words is "fifty-three million, six hundred thirty-two thousand, five hundred twelve".