252816638801 has 2 divisors, whose sum is σ = 252816638802. Its totient is φ = 252816638800.

The previous prime is 252816638749. The next prime is 252816638849. The reversal of 252816638801 is 108836618252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185748070225 + 67068568576 = 430985^2 + 258976^2 .

It is a cyclic number.

It is not a de Polignac number, because 252816638801 - 2¹⁴ = 252816622417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252816638801.

It is not a weakly prime, because it can be changed into another prime (252216638801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126408319400 + 126408319401.

It is an arithmetic number, because the mean of its divisors is an integer number (126408319401).

Almost surely, 2^252816638801 is an apocalyptic number.

It is an amenable number.

252816638801 is a deficient number, since it is larger than the sum of its proper divisors (1).

252816638801 is an equidigital number, since it uses as much as digits as its factorization.

252816638801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 252816638801 in words is "two hundred fifty-two billion, eight hundred sixteen million, six hundred thirty-eight thousand, eight hundred one".