27585460901 has 2 divisors, whose sum is σ = 27585460902. Its totient is φ = 27585460900.

The previous prime is 27585460811. The next prime is 27585460909. The reversal of 27585460901 is 10906458572.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26420877025 + 1164583876 = 162545^2 + 34126^2 .

It is a cyclic number.

It is not a de Polignac number, because 27585460901 - 2¹⁰ = 27585459877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27585460909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13792730450 + 13792730451.

It is an arithmetic number, because the mean of its divisors is an integer number (13792730451).

Almost surely, 2^27585460901 is an apocalyptic number.

It is an amenable number.

27585460901 is a deficient number, since it is larger than the sum of its proper divisors (1).

27585460901 is an equidigital number, since it uses as much as digits as its factorization.

27585460901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 27585460901 in words is "twenty-seven billion, five hundred eighty-five million, four hundred sixty thousand, nine hundred one".