252151306410 has 256 divisors, whose sum is σ = 675821076480. Its totient is φ = 59947776000.

The previous prime is 252151306409. The next prime is 252151306427. The reversal of 252151306410 is 14603151252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213506020 + ... + 213507200.

It is an arithmetic number, because the mean of its divisors is an integer number (2639926080).

Almost surely, 2^252151306410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252151306410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337910538240).

252151306410 is an abundant number, since it is smaller than the sum of its proper divisors (423669770070).

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

252151306410 is a wasteful number, since it uses less digits than its factorization.

252151306410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 252151306410 its reverse (14603151252), we get a palindrome (266754457662).

The spelling of 252151306410 in words is "two hundred fifty-two billion, one hundred fifty-one million, three hundred six thousand, four hundred ten".