252152164417 has 2 divisors, whose sum is σ = 252152164418. Its totient is φ = 252152164416.

The previous prime is 252152164373. The next prime is 252152164421. The reversal of 252152164417 is 714461251252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189399910401 + 62752254016 = 435201^2 + 250504^2 .

It is a cyclic number.

It is not a de Polignac number, because 252152164417 - 2¹⁹ = 252151640129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252152164417.

It is not a weakly prime, because it can be changed into another prime (252152164487) 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, 126076082208 + 126076082209.

It is an arithmetic number, because the mean of its divisors is an integer number (126076082209).

Almost surely, 2^252152164417 is an apocalyptic number.

It is an amenable number.

252152164417 is a deficient number, since it is larger than the sum of its proper divisors (1).

252152164417 is an equidigital number, since it uses as much as digits as its factorization.

252152164417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 40.

The spelling of 252152164417 in words is "two hundred fifty-two billion, one hundred fifty-two million, one hundred sixty-four thousand, four hundred seventeen".