355106562401 has 2 divisors, whose sum is σ = 355106562402. Its totient is φ = 355106562400.

The previous prime is 355106562379. The next prime is 355106562403. The reversal of 355106562401 is 104265601553.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311006982400 + 44099580001 = 557680^2 + 209999^2 .

It is a cyclic number.

It is not a de Polignac number, because 355106562401 - 2³⁸ = 80228655457 is a prime.

It is a super-2 number, since 2×355106562401² (a number of 24 digits) contains 22 as substring.

Together with 355106562403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (355106562403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177553281200 + 177553281201.

It is an arithmetic number, because the mean of its divisors is an integer number (177553281201).

Almost surely, 2^355106562401 is an apocalyptic number.

It is an amenable number.

355106562401 is a deficient number, since it is larger than the sum of its proper divisors (1).

355106562401 is an equidigital number, since it uses as much as digits as its factorization.

355106562401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 355106562401 in words is "three hundred fifty-five billion, one hundred six million, five hundred sixty-two thousand, four hundred one".