252502512761 has 2 divisors, whose sum is σ = 252502512762. Its totient is φ = 252502512760.

The previous prime is 252502512751. The next prime is 252502512799. The reversal of 252502512761 is 167215205252.

252502512761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (252502512799) can be obtained adding 252502512761 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219061441600 + 33441071161 = 468040^2 + 182869^2 .

It is a cyclic number.

It is not a de Polignac number, because 252502512761 - 2⁶ = 252502512697 is a prime.

It is not a weakly prime, because it can be changed into another prime (252502512751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126251256380 + 126251256381.

It is an arithmetic number, because the mean of its divisors is an integer number (126251256381).

Almost surely, 2^252502512761 is an apocalyptic number.

It is an amenable number.

252502512761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252502512761 is an equidigital number, since it uses as much as digits as its factorization.

252502512761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 252502512761 in words is "two hundred fifty-two billion, five hundred two million, five hundred twelve thousand, seven hundred sixty-one".