252319536 has 240 divisors, whose sum is σ = 855056384. Its totient is φ = 70543872.

The previous prime is 252319523. The next prime is 252319537. The reversal of 252319536 is 635913252.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252319536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252319537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986705 + ... + 1986831.

Almost surely, 2^252319536 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 252319536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427528192).

252319536 is an abundant number, since it is smaller than the sum of its proper divisors (602736848).

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

252319536 is a wasteful number, since it uses less digits than its factorization.

252319536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 252319536 is about 15884.5691159691. The cubic root of 252319536 is about 631.9028184708.

The spelling of 252319536 in words is "two hundred fifty-two million, three hundred nineteen thousand, five hundred thirty-six".