510012064611601 has 2 divisors, whose sum is σ = 510012064611602. Its totient is φ = 510012064611600.

The previous prime is 510012064611487. The next prime is 510012064611613. The reversal of 510012064611601 is 106116460210015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403666965846225 + 106345098765376 = 20091465^2 + 10312376^2 .

It is a cyclic number.

It is not a de Polignac number, because 510012064611601 - 2¹⁵ = 510012064578833 is a prime.

It is a super-2 number, since 2×510012064611601² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (510012064611631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255006032305800 + 255006032305801.

It is an arithmetic number, because the mean of its divisors is an integer number (255006032305801).

Almost surely, 2^{510012064611601} is an apocalyptic number.

It is an amenable number.

510012064611601 is a deficient number, since it is larger than the sum of its proper divisors (1).

510012064611601 is an equidigital number, since it uses as much as digits as its factorization.

510012064611601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 510012064611601 in words is "five hundred ten trillion, twelve billion, sixty-four million, six hundred eleven thousand, six hundred one".