13770465776253 has 24 divisors (see below), whose sum is σ = 21078425342520. Its totient is φ = 8647559101440.

The previous prime is 13770465776231. The next prime is 13770465776261. The reversal of 13770465776253 is 35267756407731.

13770465776253 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 4 + 6 + 577 + 6 + 2 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607305372804 + 13163160403449 = 779298^2 + 3628107^2 .

It is not a de Polignac number, because 13770465776253 - 2⁶ = 13770465776189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770465736253) 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 in 23 ways as a sum of consecutive naturals, for example, 643408876 + ... + 643430277.

It is an arithmetic number, because the mean of its divisors is an integer number (878267722605).

Almost surely, 2^{13770465776253} is an apocalyptic number.

It is an amenable number.

13770465776253 is a deficient number, since it is larger than the sum of its proper divisors (7307959566267).

13770465776253 is a wasteful number, since it uses less digits than its factorization.

13770465776253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286839229 (or 1286839226 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 63.

The spelling of 13770465776253 in words is "thirteen trillion, seven hundred seventy billion, four hundred sixty-five million, seven hundred seventy-six thousand, two hundred fifty-three".