314014014002153 has 2 divisors, whose sum is σ = 314014014002154. Its totient is φ = 314014014002152.

The previous prime is 314014014002083. The next prime is 314014014002261. The reversal of 314014014002153 is 351200410410413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240803265158569 + 73210748843584 = 15517837^2 + 8556328^2 .

It is a cyclic number.

It is not a de Polignac number, because 314014014002153 - 2²⁶ = 314013946893289 is a prime.

It is not a weakly prime, because it can be changed into another prime (314014014002053) 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, 157007007001076 + 157007007001077.

It is an arithmetic number, because the mean of its divisors is an integer number (157007007001077).

Almost surely, 2^{314014014002153} is an apocalyptic number.

It is an amenable number.

314014014002153 is a deficient number, since it is larger than the sum of its proper divisors (1).

314014014002153 is an equidigital number, since it uses as much as digits as its factorization.

314014014002153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 314014014002153 its reverse (351200410410413), we get a palindrome (665214424412566).

The spelling of 314014014002153 in words is "three hundred fourteen trillion, fourteen billion, fourteen million, two thousand, one hundred fifty-three".