408312161261 has 2 divisors, whose sum is σ = 408312161262. Its totient is φ = 408312161260.

The previous prime is 408312161239. The next prime is 408312161263. The reversal of 408312161261 is 162161213804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397416768100 + 10895393161 = 630410^2 + 104381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-408312161261 is a prime.

It is a super-2 number, since 2×408312161261² (a number of 24 digits) contains 22 as substring.

Together with 408312161263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408312161263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204156080630 + 204156080631.

It is an arithmetic number, because the mean of its divisors is an integer number (204156080631).

Almost surely, 2^408312161261 is an apocalyptic number.

It is an amenable number.

408312161261 is a deficient number, since it is larger than the sum of its proper divisors (1).

408312161261 is an equidigital number, since it uses as much as digits as its factorization.

408312161261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 408312161261 in words is "four hundred eight billion, three hundred twelve million, one hundred sixty-one thousand, two hundred sixty-one".