27417067561 has 27 divisors (see below), whose sum is σ = 30445754103. Its totient is φ = 24678192240.

The previous prime is 27417067553. The next prime is 27417067603. The reversal of 27417067561 is 16576071472.

The square root of 27417067561 is 165581.

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

It can be written as a sum of positive squares in only one way, i.e., 4055779225 + 23361288336 = 63685^2 + 152844^2 .

It is not a de Polignac number, because 27417067561 - 2³ = 27417067553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27417067511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101169856 + ... + 101170126.

Almost surely, 2^27417067561 is an apocalyptic number.

27417067561 is the 165581-st square number.

27417067561 is the 82791-st centered octagonal number.

It is an amenable number.

27417067561 is a deficient number, since it is larger than the sum of its proper divisors (3028686542).

27417067561 is an frugal number, since it uses more digits than its factorization.

27417067561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 27417067561 in words is "twenty-seven billion, four hundred seventeen million, sixty-seven thousand, five hundred sixty-one".