13187562506257 has 2 divisors, whose sum is σ = 13187562506258. Its totient is φ = 13187562506256.

The previous prime is 13187562506231. The next prime is 13187562506273. The reversal of 13187562506257 is 75260526578131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8805171957201 + 4382390549056 = 2967351^2 + 2093416^2 .

It is a cyclic number.

It is not a de Polignac number, because 13187562506257 - 2¹¹ = 13187562504209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13187562506057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6593781253128 + 6593781253129.

It is an arithmetic number, because the mean of its divisors is an integer number (6593781253129).

Almost surely, 2^{13187562506257} is an apocalyptic number.

It is an amenable number.

13187562506257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13187562506257 is an equidigital number, since it uses as much as digits as its factorization.

13187562506257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 13187562506257 in words is "thirteen trillion, one hundred eighty-seven billion, five hundred sixty-two million, five hundred six thousand, two hundred fifty-seven".