209152452902401 has 2 divisors, whose sum is σ = 209152452902402. Its totient is φ = 209152452902400.

The previous prime is 209152452902383. The next prime is 209152452902441. The reversal of 209152452902401 is 104209254251902.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176886701615376 + 32265751287025 = 13299876^2 + 5680295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-209152452902401 is a prime.

It is not a weakly prime, because it can be changed into another prime (209152452902441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104576226451200 + 104576226451201.

It is an arithmetic number, because the mean of its divisors is an integer number (104576226451201).

Almost surely, 2^{209152452902401} is an apocalyptic number.

It is an amenable number.

209152452902401 is a deficient number, since it is larger than the sum of its proper divisors (1).

209152452902401 is an equidigital number, since it uses as much as digits as its factorization.

209152452902401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 209152452902401 in words is "two hundred nine trillion, one hundred fifty-two billion, four hundred fifty-two million, nine hundred two thousand, four hundred one".