252405510 has 128 divisors (see below), whose sum is σ = 716636160. Its totient is φ = 55703424.

The previous prime is 252405509. The next prime is 252405533. The reversal of 252405510 is 15504252.

It is a happy number.

252405510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055971 + ... + 1056209.

It is an arithmetic number, because the mean of its divisors is an integer number (5598720).

Almost surely, 2^252405510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252405510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358318080).

252405510 is an abundant number, since it is smaller than the sum of its proper divisors (464230650).

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

252405510 is a wasteful number, since it uses less digits than its factorization.

252405510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 252405510 is about 15887.2750967559. The cubic root of 252405510 is about 631.9745807087.

Adding to 252405510 its reverse (15504252), we get a palindrome (267909762).

The spelling of 252405510 in words is "two hundred fifty-two million, four hundred five thousand, five hundred ten".