27825712513 has 2 divisors, whose sum is σ = 27825712514. Its totient is φ = 27825712512.

The previous prime is 27825712507. The next prime is 27825712517. The reversal of 27825712513 is 31521752872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22810665024 + 5015047489 = 151032^2 + 70817^2 .

It is a cyclic number.

It is not a de Polignac number, because 27825712513 - 2¹³ = 27825704321 is a prime.

It is a super-2 number, since 2×27825712513² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27825712513.

It is not a weakly prime, because it can be changed into another prime (27825712517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13912856256 + 13912856257.

It is an arithmetic number, because the mean of its divisors is an integer number (13912856257).

Almost surely, 2^27825712513 is an apocalyptic number.

It is an amenable number.

27825712513 is a deficient number, since it is larger than the sum of its proper divisors (1).

27825712513 is an equidigital number, since it uses as much as digits as its factorization.

27825712513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 235200, while the sum is 43.

The spelling of 27825712513 in words is "twenty-seven billion, eight hundred twenty-five million, seven hundred twelve thousand, five hundred thirteen".