13257764541 has 24 divisors (see below), whose sum is σ = 21979788480. Its totient is φ = 7543342656.

The previous prime is 13257764537. The next prime is 13257764543. The reversal of 13257764541 is 14546775231.

13257764541 is a `hidden beast` number, since 1 + 32 + 5 + 7 + 76 + 4 + 541 = 666.

It is not a de Polignac number, because 13257764541 - 2² = 13257764537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257764543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436911 + ... + 466268.

It is an arithmetic number, because the mean of its divisors is an integer number (915824520).

Almost surely, 2^13257764541 is an apocalyptic number.

It is an amenable number.

13257764541 is a deficient number, since it is larger than the sum of its proper divisors (8722023939).

13257764541 is a wasteful number, since it uses less digits than its factorization.

13257764541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903425 (or 903422 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 13257764541 in words is "thirteen billion, two hundred fifty-seven million, seven hundred sixty-four thousand, five hundred forty-one".