27100073641 has 3 divisors (see below), whose sum is σ = 27100238263. Its totient is φ = 27099909020.

The previous prime is 27100073629. The next prime is 27100073659. The reversal of 27100073641 is 14637000172.

The square root of 27100073641 is 164621.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 17787823641 + 9312250000 = 133371^2 + 96500^2 .

It is not a de Polignac number, because 27100073641 - 2⁷ = 27100073513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27100073681) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 82311 + ... + 246931.

Almost surely, 2^27100073641 is an apocalyptic number.

27100073641 is the 164621-st square number.

27100073641 is the 82311-st centered octagonal number.

It is an amenable number.

27100073641 is a deficient number, since it is larger than the sum of its proper divisors (164622).

27100073641 is an frugal number, since it uses more digits than its factorization.

27100073641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329242 (or 164621 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

Multiplying 27100073641 by its product of nonzero digits (7056), we get a square (191218119610896 = 13828164²).

The spelling of 27100073641 in words is "twenty-seven billion, one hundred million, seventy-three thousand, six hundred forty-one".