12561152516501 has 2 divisors, whose sum is σ = 12561152516502. Its totient is φ = 12561152516500.

The previous prime is 12561152516489. The next prime is 12561152516503. The reversal of 12561152516501 is 10561525116521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11540797980625 + 1020354535876 = 3397175^2 + 1010126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12561152516501 is a prime.

Together with 12561152516503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12561152516503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6280576258250 + 6280576258251.

It is an arithmetic number, because the mean of its divisors is an integer number (6280576258251).

Almost surely, 2^{12561152516501} is an apocalyptic number.

It is an amenable number.

12561152516501 is a deficient number, since it is larger than the sum of its proper divisors (1).

12561152516501 is an equidigital number, since it uses as much as digits as its factorization.

12561152516501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 41.

The spelling of 12561152516501 in words is "twelve trillion, five hundred sixty-one billion, one hundred fifty-two million, five hundred sixteen thousand, five hundred one".