252114336 has 96 divisors (see below), whose sum is σ = 742734720. Its totient is φ = 83192832.

The previous prime is 252114329. The next prime is 252114361. The reversal of 252114336 is 633411252.

252114336 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87576 + ... + 90408.

It is an arithmetic number, because the mean of its divisors is an integer number (7736820).

Almost surely, 2^252114336 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 252114336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371367360).

252114336 is an abundant number, since it is smaller than the sum of its proper divisors (490620384).

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

252114336 is a wasteful number, since it uses less digits than its factorization.

252114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2941 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 252114336 is about 15878.1087034949. The cubic root of 252114336 is about 631.7314727413.

Adding to 252114336 its reverse (633411252), we get a palindrome (885525588).

The spelling of 252114336 in words is "two hundred fifty-two million, one hundred fourteen thousand, three hundred thirty-six".