511152405202961 has 2 divisors, whose sum is σ = 511152405202962. Its totient is φ = 511152405202960.

The previous prime is 511152405202927. The next prime is 511152405203017. The reversal of 511152405202961 is 169202504251115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 503058067249936 + 8094337953025 = 22428956^2 + 2845055^2 .

It is a cyclic number.

It is not a de Polignac number, because 511152405202961 - 2⁴² = 506754358691857 is a prime.

It is a super-2 number, since 2×511152405202961² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (511152405202261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255576202601480 + 255576202601481.

It is an arithmetic number, because the mean of its divisors is an integer number (255576202601481).

Almost surely, 2^{511152405202961} is an apocalyptic number.

It is an amenable number.

511152405202961 is a deficient number, since it is larger than the sum of its proper divisors (1).

511152405202961 is an equidigital number, since it uses as much as digits as its factorization.

511152405202961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 44.

The spelling of 511152405202961 in words is "five hundred eleven trillion, one hundred fifty-two billion, four hundred five million, two hundred two thousand, nine hundred sixty-one".