13727153601 has 48 divisors (see below), whose sum is σ = 22913953920. Its totient is φ = 7756715520.

The previous prime is 13727153597. The next prime is 13727153663. The reversal of 13727153601 is 10635172731.

13727153601 is a `hidden beast` number, since 1 + 37 + 2 + 7 + 15 + 3 + 601 = 666.

It is not a de Polignac number, because 13727153601 - 2² = 13727153597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13727153201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4070446 + ... + 4073816.

It is an arithmetic number, because the mean of its divisors is an integer number (477374040).

Almost surely, 2^13727153601 is an apocalyptic number.

It is an amenable number.

13727153601 is a deficient number, since it is larger than the sum of its proper divisors (9186800319).

13727153601 is a wasteful number, since it uses less digits than its factorization.

13727153601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13727153601 in words is "thirteen billion, seven hundred twenty-seven million, one hundred fifty-three thousand, six hundred one".