52252512 has 96 divisors (see below), whose sum is σ = 149234400. Its totient is φ = 15912960.

The previous prime is 52252511. The next prime is 52252513. The reversal of 52252512 is 21525225.

52252512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52252511) and next prime (52252513).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52252511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185812 + ... + 186092.

It is an arithmetic number, because the mean of its divisors is an integer number (1554525).

Almost surely, 2^52252512 is an apocalyptic number.

52252512 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 52252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74617200).

52252512 is an abundant number, since it is smaller than the sum of its proper divisors (96981888).

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

52252512 is a wasteful number, since it uses less digits than its factorization.

52252512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 2000, while the sum is 24.

The square root of 52252512 is about 7228.5899039854. The cubic root of 52252512 is about 373.8543095023.

Adding to 52252512 its reverse (21525225), we get a palindrome (73777737).

The spelling of 52252512 in words is "fifty-two million, two hundred fifty-two thousand, five hundred twelve".