252667081728 has 110 divisors (see below), whose sum is σ = 754513551506. Its totient is φ = 84222332928.

The previous prime is 252667081717. The next prime is 252667081729. The reversal of 252667081728 is 827180766252.

It can be written as a sum of positive squares in only one way, i.e., 186375250944 + 66291830784 = 431712^2 + 257472^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252667081729) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1440175 + ... + 1606062.

Almost surely, 2^252667081728 is an apocalyptic number.

It is an amenable number.

252667081728 is an abundant number, since it is smaller than the sum of its proper divisors (501846469778).

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

252667081728 is an equidigital number, since it uses as much as digits as its factorization.

252667081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046269 (or 3046242 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 252667081728 in words is "two hundred fifty-two billion, six hundred sixty-seven million, eighty-one thousand, seven hundred twenty-eight".