506461064643557 has 2 divisors, whose sum is σ = 506461064643558. Its totient is φ = 506461064643556.

The previous prime is 506461064643503. The next prime is 506461064643679. The reversal of 506461064643557 is 755346460164605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 486763569672961 + 19697494970596 = 22062719^2 + 4438186^2 .

It is a cyclic number.

It is not a de Polignac number, because 506461064643557 - 2⁶ = 506461064643493 is a prime.

It is a super-2 number, since 2×506461064643557² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506461064643557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506461024643557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253230532321778 + 253230532321779.

It is an arithmetic number, because the mean of its divisors is an integer number (253230532321779).

Almost surely, 2^{506461064643557} is an apocalyptic number.

It is an amenable number.

506461064643557 is a deficient number, since it is larger than the sum of its proper divisors (1).

506461064643557 is an equidigital number, since it uses as much as digits as its factorization.

506461064643557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728000, while the sum is 62.

The spelling of 506461064643557 in words is "five hundred six trillion, four hundred sixty-one billion, sixty-four million, six hundred forty-three thousand, five hundred fifty-seven".