2727184713561 has 135 divisors (see below), whose sum is σ = 5211253943973. Its totient is φ = 1416124820880.

The previous prime is 2727184713551. The next prime is 2727184713569. The reversal of 2727184713561 is 1653174817272.

The square root of 2727184713561 is 1651419.

It is a perfect power (a square), and thus also a powerful number.

2727184713561 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 1 + 8 + 4 + 71 + 3 + 561 = 666.

It is not a de Polignac number, because 2727184713561 - 2⁹ = 2727184713049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2727184713498 and 2727184713507.

It is not an unprimeable number, because it can be changed into a prime (2727184713569) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1144432176 + ... + 1144434558.

Almost surely, 2^{2727184713561} is an apocalyptic number.

2727184713561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2727184713561 is the 1651419-th square number.

2727184713561 is the 825710-th centered octagonal number.

It is an amenable number.

2727184713561 is a deficient number, since it is larger than the sum of its proper divisors (2484069230412).

2727184713561 is an frugal number, since it uses more digits than its factorization.

2727184713561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 2404 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 2727184713561 in words is "two trillion, seven hundred twenty-seven billion, one hundred eighty-four million, seven hundred thirteen thousand, five hundred sixty-one".