53261952 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 16220160.

The previous prime is 53261941. The next prime is 53261953. The reversal of 53261952 is 25916235.

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

It is not an unprimeable number, because it can be changed into a prime (53261953) by changing a digit.

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, 267549 + ... + 267747.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^53261952 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 53261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

53261952 is an abundant number, since it is smaller than the sum of its proper divisors (100962048).

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

53261952 is a wasteful number, since it uses less digits than its factorization.

53261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 53261952 is about 7298.0786512616. The cubic root of 53261952 is about 376.2464055609.

The spelling of 53261952 in words is "fifty-three million, two hundred sixty-one thousand, nine hundred fifty-two".