314014014002261 has 2 divisors, whose sum is σ = 314014014002262. Its totient is φ = 314014014002260.

The previous prime is 314014014002153. The next prime is 314014014002281. The reversal of 314014014002261 is 162200410410413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248790525879025 + 65223488123236 = 15773095^2 + 8076106^2 .

It is an emirp because it is prime and its reverse (162200410410413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314014014002261 is a prime.

It is a super-2 number, since 2×314014014002261² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314014014002281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157007007001130 + 157007007001131.

It is an arithmetic number, because the mean of its divisors is an integer number (157007007001131).

Almost surely, 2^{314014014002261} is an apocalyptic number.

It is an amenable number.

314014014002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

314014014002261 is an equidigital number, since it uses as much as digits as its factorization.

314014014002261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 314014014002261 its reverse (162200410410413), we get a palindrome (476214424412674).

The spelling of 314014014002261 in words is "three hundred fourteen trillion, fourteen billion, fourteen million, two thousand, two hundred sixty-one".