13257266532053 has 2 divisors, whose sum is σ = 13257266532054. Its totient is φ = 13257266532052.

The previous prime is 13257266532047. The next prime is 13257266532157. The reversal of 13257266532053 is 35023566275231.

It is a happy number.

13257266532053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13254893088529 + 2373443524 = 3640727^2 + 48718^2 .

It is a cyclic number.

It is not a de Polignac number, because 13257266532053 - 2¹⁶ = 13257266466517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13257266531992 and 13257266532010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13257266532253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6628633266026 + 6628633266027.

It is an arithmetic number, because the mean of its divisors is an integer number (6628633266027).

Almost surely, 2^{13257266532053} is an apocalyptic number.

It is an amenable number.

13257266532053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13257266532053 is an equidigital number, since it uses as much as digits as its factorization.

13257266532053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804000, while the sum is 50.

The spelling of 13257266532053 in words is "thirteen trillion, two hundred fifty-seven billion, two hundred sixty-six million, five hundred thirty-two thousand, fifty-three".