252301003416 has 256 divisors, whose sum is σ = 874550476800. Its totient is φ = 65474179200.

The previous prime is 252301003397. The next prime is 252301003433. The reversal of 252301003416 is 614300103252.

252301003416 is a `hidden beast` number, since 2 + 5 + 230 + 10 + 0 + 3 + 416 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252301003416.

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, 20467831 + ... + 20480153.

It is an arithmetic number, because the mean of its divisors is an integer number (3416212800).

Almost surely, 2^252301003416 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 252301003416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437275238400).

252301003416 is an abundant number, since it is smaller than the sum of its proper divisors (622249473384).

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

252301003416 is a wasteful number, since it uses less digits than its factorization.

252301003416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587 (or 13577 counting only the distinct ones).

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

Adding to 252301003416 its reverse (614300103252), we get a palindrome (866601106668).

The spelling of 252301003416 in words is "two hundred fifty-two billion, three hundred one million, three thousand, four hundred sixteen".