16261336460513 has 2 divisors, whose sum is σ = 16261336460514. Its totient is φ = 16261336460512.

The previous prime is 16261336460507. The next prime is 16261336460519. The reversal of 16261336460513 is 31506463316261.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (16261336460507) and next prime (16261336460519).

It can be written as a sum of positive squares in only one way, i.e., 15595296031744 + 666040428769 = 3949088^2 + 816113^2 .

It is a cyclic number.

It is not a de Polignac number, because 16261336460513 - 2²⁸ = 16261068025057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (16261336460519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8130668230256 + 8130668230257.

It is an arithmetic number, because the mean of its divisors is an integer number (8130668230257).

Almost surely, 2^{16261336460513} is an apocalyptic number.

It is an amenable number.

16261336460513 is a deficient number, since it is larger than the sum of its proper divisors (1).

16261336460513 is an equidigital number, since it uses as much as digits as its factorization.

16261336460513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 47.

Adding to 16261336460513 its reverse (31506463316261), we get a palindrome (47767799776774).

The spelling of 16261336460513 in words is "sixteen trillion, two hundred sixty-one billion, three hundred thirty-six million, four hundred sixty thousand, five hundred thirteen".