514414315601 has 2 divisors, whose sum is σ = 514414315602. Its totient is φ = 514414315600.

The previous prime is 514414315507. The next prime is 514414315609. The reversal of 514414315601 is 106513414415.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379579210000 + 134835105601 = 616100^2 + 367199^2 .

It is a cyclic number.

It is not a de Polignac number, because 514414315601 - 2¹⁸ = 514414053457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (514414315609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257207157800 + 257207157801.

It is an arithmetic number, because the mean of its divisors is an integer number (257207157801).

Almost surely, 2^514414315601 is an apocalyptic number.

It is an amenable number.

514414315601 is a deficient number, since it is larger than the sum of its proper divisors (1).

514414315601 is an equidigital number, since it uses as much as digits as its factorization.

514414315601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 514414315601 in words is "five hundred fourteen billion, four hundred fourteen million, three hundred fifteen thousand, six hundred one".