13762501387561 has 2 divisors, whose sum is σ = 13762501387562. Its totient is φ = 13762501387560.

The previous prime is 13762501387559. The next prime is 13762501387709. The reversal of 13762501387561 is 16578310526731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13426398282025 + 336103105536 = 3664205^2 + 579744^2 .

It is a cyclic number.

It is not a de Polignac number, because 13762501387561 - 2¹ = 13762501387559 is a prime.

Together with 13762501387559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13762501387541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6881250693780 + 6881250693781.

It is an arithmetic number, because the mean of its divisors is an integer number (6881250693781).

Almost surely, 2^{13762501387561} is an apocalyptic number.

It is an amenable number.

13762501387561 is a deficient number, since it is larger than the sum of its proper divisors (1).

13762501387561 is an equidigital number, since it uses as much as digits as its factorization.

13762501387561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 13762501387561 in words is "thirteen trillion, seven hundred sixty-two billion, five hundred one million, three hundred eighty-seven thousand, five hundred sixty-one".