252541410 has 64 divisors (see below), whose sum is σ = 667833984. Its totient is φ = 60608000.

The previous prime is 252541381. The next prime is 252541411. The reversal of 252541410 is 14145252.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (252541411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29542 + ... + 37118.

It is an arithmetic number, because the mean of its divisors is an integer number (10434906).

Almost surely, 2^252541410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252541410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333916992).

252541410 is an abundant number, since it is smaller than the sum of its proper divisors (415292574).

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

252541410 is a wasteful number, since it uses less digits than its factorization.

252541410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 252541410 is about 15891.5515290358. The cubic root of 252541410 is about 632.0879827973.

Adding to 252541410 its reverse (14145252), we get a palindrome (266686662).

The spelling of 252541410 in words is "two hundred fifty-two million, five hundred forty-one thousand, four hundred ten".