252506702641 has 2 divisors, whose sum is σ = 252506702642. Its totient is φ = 252506702640.

The previous prime is 252506702621. The next prime is 252506702681. The reversal of 252506702641 is 146207605252.

It is an a-pointer prime, because the next prime (252506702681) can be obtained adding 252506702641 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138395160225 + 114111542416 = 372015^2 + 337804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252506702641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252506702594 and 252506702603.

It is not a weakly prime, because it can be changed into another prime (252506702621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126253351320 + 126253351321.

It is an arithmetic number, because the mean of its divisors is an integer number (126253351321).

Almost surely, 2^252506702641 is an apocalyptic number.

It is an amenable number.

252506702641 is a deficient number, since it is larger than the sum of its proper divisors (1).

252506702641 is an equidigital number, since it uses as much as digits as its factorization.

252506702641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 252506702641 in words is "two hundred fifty-two billion, five hundred six million, seven hundred two thousand, six hundred forty-one".