52601952 has 96 divisors (see below), whose sum is σ = 150419808. Its totient is φ = 15998976.

The previous prime is 52601921. The next prime is 52601953. The reversal of 52601952 is 25910625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×52601952³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52601953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140838 + ... + 141210.

It is an arithmetic number, because the mean of its divisors is an integer number (1566873).

Almost surely, 2^52601952 is an apocalyptic number.

52601952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209904).

52601952 is an abundant number, since it is smaller than the sum of its proper divisors (97817856).

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

52601952 is a wasteful number, since it uses less digits than its factorization.

52601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 52601952 is about 7252.7203172327. The cubic root of 52601952 is about 374.6858453362.

The spelling of 52601952 in words is "fifty-two million, six hundred one thousand, nine hundred fifty-two".