53993952 has 120 divisors (see below), whose sum is σ = 163376136. Its totient is φ = 17480448.

The previous prime is 53993941. The next prime is 53993963. The reversal of 53993952 is 25939935.

It is an interprime number because it is at equal distance from previous prime (53993941) and next prime (53993963).

It is a junction number, because it is equal to n+sod(n) for n = 53993898 and 53993907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95623 + ... + 96185.

Almost surely, 2^53993952 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 53993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81688068).

53993952 is an abundant number, since it is smaller than the sum of its proper divisors (109382184).

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

53993952 is a wasteful number, since it uses less digits than its factorization.

53993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its digits is 328050, while the sum is 45.

The square root of 53993952 is about 7348.0577025497. The cubic root of 53993952 is about 377.9622033259.

It can be divided in two parts, 53993 and 952, that added together give a palindrome (54945).

The spelling of 53993952 in words is "fifty-three million, nine hundred ninety-three thousand, nine hundred fifty-two".