53251968 has 128 divisors (see below), whose sum is σ = 176451840. Its totient is φ = 13824000.

The previous prime is 53251949. The next prime is 53251997. The reversal of 53251968 is 86915235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×53251968³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 28668 + ... + 30468.

It is an arithmetic number, because the mean of its divisors is an integer number (1378530).

Almost surely, 2^53251968 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 53251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88225920).

53251968 is an abundant number, since it is smaller than the sum of its proper divisors (123199872).

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

53251968 is a wasteful number, since it uses less digits than its factorization.

53251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1824 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 53251968 is about 7297.3946035554. The cubic root of 53251968 is about 376.2228948513. Note that the first 3 decimals are identical.

The spelling of 53251968 in words is "fifty-three million, two hundred fifty-one thousand, nine hundred sixty-eight".