252351330 has 128 divisors (see below), whose sum is σ = 781332480. Its totient is φ = 50615040.

The previous prime is 252351313. The next prime is 252351353. The reversal of 252351330 is 33153252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252351330.

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 63 ways as a sum of consecutive naturals, for example, 65107 + ... + 68873.

It is an arithmetic number, because the mean of its divisors is an integer number (6104160).

Almost surely, 2^252351330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252351330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390666240).

252351330 is an abundant number, since it is smaller than the sum of its proper divisors (528981150).

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

252351330 is a wasteful number, since it uses less digits than its factorization.

252351330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 252351330 is about 15885.5698670208. The cubic root of 252351330 is about 631.9293587257.

It can be divided in two parts, 25235 and 1330, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 252351330 in words is "two hundred fifty-two million, three hundred fifty-one thousand, three hundred thirty".