52521534 has 112 divisors (see below), whose sum is σ = 135514512. Its totient is φ = 15116544.

The previous prime is 52521509. The next prime is 52521559. The reversal of 52521534 is 43512525.

It is a happy number.

52521534 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 (52521509) and next prime (52521559).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52521498 and 52521507.

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 55 ways as a sum of consecutive naturals, for example, 322137 + ... + 322299.

It is an arithmetic number, because the mean of its divisors is an integer number (1209951).

Almost surely, 2^52521534 is an apocalyptic number.

52521534 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52521534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757256).

52521534 is an abundant number, since it is smaller than the sum of its proper divisors (82992978).

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

52521534 is a wasteful number, since it uses less digits than its factorization.

52521534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 52521534 is about 7247.1742079241. The cubic root of 52521534 is about 374.4948077210.

Subtracting from 52521534 its reverse (43512525), we obtain a palindrome (9009009).

It can be divided in two parts, 5252 and 1534, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 52521534 in words is "fifty-two million, five hundred twenty-one thousand, five hundred thirty-four".