252610589737984 has 99 divisors (see below), whose sum is σ = 532971303783861. Its totient is φ = 119653070376960.

The previous prime is 252610589737981. The next prime is 252610589737993. The reversal of 252610589737984 is 489737985016252.

The square root of 252610589737984 is 15893728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 177440302531584 + 75170287206400 = 13320672^2 + 8670080^2 .

It is a super-2 number, since 2×252610589737984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252610589737984.

It is not an unprimeable number, because it can be changed into a prime (252610589737981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9663373554 + ... + 9663399694.

It is a 1-persistent number, because it is pandigital, but 2⋅252610589737984 = 505221179475968 is not.

Almost surely, 2^{252610589737984} is an apocalyptic number.

252610589737984 is the 15893728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252610589737984

252610589737984 is an abundant number, since it is smaller than the sum of its proper divisors (280360714045877).

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

252610589737984 is an frugal number, since it uses more digits than its factorization.

252610589737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52340 (or 26162 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 76.

The spelling of 252610589737984 in words is "two hundred fifty-two trillion, six hundred ten billion, five hundred eighty-nine million, seven hundred thirty-seven thousand, nine hundred eighty-four".