252829237361 has 2 divisors, whose sum is σ = 252829237362. Its totient is φ = 252829237360.

The previous prime is 252829237237. The next prime is 252829237379. The reversal of 252829237361 is 163732928252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252035124961 + 794112400 = 502031^2 + 28180^2 .

It is a cyclic number.

It is not a de Polignac number, because 252829237361 - 2³⁴ = 235649368177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252829237391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126414618680 + 126414618681.

It is an arithmetic number, because the mean of its divisors is an integer number (126414618681).

Almost surely, 2^252829237361 is an apocalyptic number.

It is an amenable number.

252829237361 is a deficient number, since it is larger than the sum of its proper divisors (1).

252829237361 is an equidigital number, since it uses as much as digits as its factorization.

252829237361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2177280, while the sum is 50.

The spelling of 252829237361 in words is "two hundred fifty-two billion, eight hundred twenty-nine million, two hundred thirty-seven thousand, three hundred sixty-one".