52141264 has 80 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 21490560.

The previous prime is 52141249. The next prime is 52141279. The reversal of 52141264 is 46214125.

It is a happy number.

52141264 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 (52141249) and next prime (52141279).

It is a super-2 number, since 2×52141264² = 5437422823035392, which contains 22 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628167 + ... + 628249.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^52141264 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 52141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

52141264 is an abundant number, since it is smaller than the sum of its proper divisors (67851056).

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

52141264 is a wasteful number, since it uses less digits than its factorization.

52141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 52141264 is about 7220.8908037721. The cubic root of 52141264 is about 373.5888033180.

Adding to 52141264 its reverse (46214125), we get a palindrome (98355389).

The spelling of 52141264 in words is "fifty-two million, one hundred forty-one thousand, two hundred sixty-four".