6461512434017 has 2 divisors, whose sum is σ = 6461512434018. Its totient is φ = 6461512434016.

The previous prime is 6461512433939. The next prime is 6461512434031. The reversal of 6461512434017 is 7104342151646.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5376017253376 + 1085495180641 = 2318624^2 + 1041871^2 .

It is a cyclic number.

It is not a de Polignac number, because 6461512434017 - 2¹² = 6461512429921 is a prime.

It is a super-2 number, since 2×6461512434017² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6461512434917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3230756217008 + 3230756217009.

It is an arithmetic number, because the mean of its divisors is an integer number (3230756217009).

Almost surely, 2^{6461512434017} is an apocalyptic number.

It is an amenable number.

6461512434017 is a deficient number, since it is larger than the sum of its proper divisors (1).

6461512434017 is an equidigital number, since it uses as much as digits as its factorization.

6461512434017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 6461512434017 in words is "six trillion, four hundred sixty-one billion, five hundred twelve million, four hundred thirty-four thousand, seventeen".