252867264101 has 2 divisors, whose sum is σ = 252867264102. Its totient is φ = 252867264100.

The previous prime is 252867264073. The next prime is 252867264109. The reversal of 252867264101 is 101462768252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245193328900 + 7673935201 = 495170^2 + 87601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252867264101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252867264109) 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, 126433632050 + 126433632051.

It is an arithmetic number, because the mean of its divisors is an integer number (126433632051).

Almost surely, 2^252867264101 is an apocalyptic number.

It is an amenable number.

252867264101 is a deficient number, since it is larger than the sum of its proper divisors (1).

252867264101 is an equidigital number, since it uses as much as digits as its factorization.

252867264101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 252867264101 in words is "two hundred fifty-two billion, eight hundred sixty-seven million, two hundred sixty-four thousand, one hundred one".