252101806501837 has 2 divisors, whose sum is σ = 252101806501838. Its totient is φ = 252101806501836.

The previous prime is 252101806501829. The next prime is 252101806501873. The reversal of 252101806501837 is 738105608101252.

Together with next prime (252101806501873) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204060910730121 + 48040895771716 = 14284989^2 + 6931154^2 .

It is a cyclic number.

It is not a de Polignac number, because 252101806501837 - 2³ = 252101806501829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252101806511837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126050903250918 + 126050903250919.

It is an arithmetic number, because the mean of its divisors is an integer number (126050903250919).

Almost surely, 2^{252101806501837} is an apocalyptic number.

It is an amenable number.

252101806501837 is a deficient number, since it is larger than the sum of its proper divisors (1).

252101806501837 is an equidigital number, since it uses as much as digits as its factorization.

252101806501837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 252101806501837 in words is "two hundred fifty-two trillion, one hundred one billion, eight hundred six million, five hundred one thousand, eight hundred thirty-seven".