314910972289 has 2 divisors, whose sum is σ = 314910972290. Its totient is φ = 314910972288.

The previous prime is 314910972239. The next prime is 314910972307. The reversal of 314910972289 is 982279019413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245619360000 + 69291612289 = 495600^2 + 263233^2 .

It is a cyclic number.

It is not a de Polignac number, because 314910972289 - 2¹³ = 314910964097 is a prime.

It is not a weakly prime, because it can be changed into another prime (314910972239) 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, 157455486144 + 157455486145.

It is an arithmetic number, because the mean of its divisors is an integer number (157455486145).

Almost surely, 2^314910972289 is an apocalyptic number.

It is an amenable number.

314910972289 is a deficient number, since it is larger than the sum of its proper divisors (1).

314910972289 is an equidigital number, since it uses as much as digits as its factorization.

314910972289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 314910972289 in words is "three hundred fourteen billion, nine hundred ten million, nine hundred seventy-two thousand, two hundred eighty-nine".