511414350290957 has 2 divisors, whose sum is σ = 511414350290958. Its totient is φ = 511414350290956.

The previous prime is 511414350290839. The next prime is 511414350290999. The reversal of 511414350290957 is 759092053414115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488779316589316 + 22635033701641 = 22108354^2 + 4757629^2 .

It is a cyclic number.

It is not a de Polignac number, because 511414350290957 - 2¹⁴ = 511414350274573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511414350280957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255707175145478 + 255707175145479.

It is an arithmetic number, because the mean of its divisors is an integer number (255707175145479).

Almost surely, 2^{511414350290957} is an apocalyptic number.

It is an amenable number.

511414350290957 is a deficient number, since it is larger than the sum of its proper divisors (1).

511414350290957 is an equidigital number, since it uses as much as digits as its factorization.

511414350290957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804000, while the sum is 56.

The spelling of 511414350290957 in words is "five hundred eleven trillion, four hundred fourteen billion, three hundred fifty million, two hundred ninety thousand, nine hundred fifty-seven".