252702260801 has 2 divisors, whose sum is σ = 252702260802. Its totient is φ = 252702260800.

The previous prime is 252702260771. The next prime is 252702260819. The reversal of 252702260801 is 108062207252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216355219600 + 36347041201 = 465140^2 + 190649^2 .

It is a cyclic number.

It is not a de Polignac number, because 252702260801 - 2⁶ = 252702260737 is a prime.

It is a super-2 number, since 2×252702260801² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252702268801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126351130400 + 126351130401.

It is an arithmetic number, because the mean of its divisors is an integer number (126351130401).

Almost surely, 2^252702260801 is an apocalyptic number.

It is an amenable number.

252702260801 is a deficient number, since it is larger than the sum of its proper divisors (1).

252702260801 is an equidigital number, since it uses as much as digits as its factorization.

252702260801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 252702260801 in words is "two hundred fifty-two billion, seven hundred two million, two hundred sixty thousand, eight hundred one".