27731002513 has 2 divisors, whose sum is σ = 27731002514. Its totient is φ = 27731002512.

The previous prime is 27731002511. The next prime is 27731002553. The reversal of 27731002513 is 31520013772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26795070864 + 935931649 = 163692^2 + 30593^2 .

It is a cyclic number.

It is not a de Polignac number, because 27731002513 - 2¹ = 27731002511 is a prime.

Together with 27731002511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (27731002511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13865501256 + 13865501257.

It is an arithmetic number, because the mean of its divisors is an integer number (13865501257).

Almost surely, 2^27731002513 is an apocalyptic number.

It is an amenable number.

27731002513 is a deficient number, since it is larger than the sum of its proper divisors (1).

27731002513 is an equidigital number, since it uses as much as digits as its factorization.

27731002513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The spelling of 27731002513 in words is "twenty-seven billion, seven hundred thirty-one million, two thousand, five hundred thirteen".