15252 has 24 divisors (see below), whose sum is σ = 37632. Its totient is φ = 4800.

The previous prime is 15241. The next prime is 15259. The reversal of 15252 is 25251.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15252.

It is not an unprimeable number, because it can be changed into a prime (15259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

2¹⁵²⁵² is an apocalyptic number.

15252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 123×124.

It is an amenable number.

15252 is an abundant number, since it is smaller than the sum of its proper divisors (22380).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816).

15252 is a wasteful number, since it uses less digits than its factorization.

15252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 15252 is about 123.4989878501. The cubic root of 15252 is about 24.7994623539.

Subtracting 15252 from its reverse (25251), we obtain a palindrome (9999).

It can be divided in two parts, 1 and 5252, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 15252 in words is "fifteen thousand, two hundred fifty-two".