252516528 has 100 divisors (see below), whose sum is σ = 797342568. Its totient is φ = 76515840.

The previous prime is 252516497. The next prime is 252516529. The reversal of 252516528 is 825615252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252516492 and 252516501.

It is not an unprimeable number, because it can be changed into a prime (252516529) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5400 + ... + 23112.

Almost surely, 2^252516528 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 252516528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398671284).

252516528 is an abundant number, since it is smaller than the sum of its proper divisors (544826040).

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

252516528 is a wasteful number, since it uses less digits than its factorization.

252516528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17744 (or 17729 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 252516528 is about 15890.7686409437. The cubic root of 252516528 is about 632.0672229943.

The spelling of 252516528 in words is "two hundred fifty-two million, five hundred sixteen thousand, five hundred twenty-eight".