252352237520016 has 160 divisors (see below), whose sum is σ = 741230340583040. Its totient is φ = 82156677926400.

The previous prime is 252352237520003. The next prime is 252352237520017. The reversal of 252352237520016 is 610025732253252.

252352237520016 is a `hidden beast` number, since 2 + 5 + 2 + 352 + 23 + 75 + 200 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (252352237520017) 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, 346282746 + ... + 347010726.

It is an arithmetic number, because the mean of its divisors is an integer number (4632689628644).

Almost surely, 2^{252352237520016} 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 252352237520016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370615170291520).

252352237520016 is an abundant number, since it is smaller than the sum of its proper divisors (488878103063024).

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

252352237520016 is a wasteful number, since it uses less digits than its factorization.

252352237520016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746702 (or 746690 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

Adding to 252352237520016 its reverse (610025732253252), we get a palindrome (862377969773268).

The spelling of 252352237520016 in words is "two hundred fifty-two trillion, three hundred fifty-two billion, two hundred thirty-seven million, five hundred twenty thousand, sixteen".