27630257013 has 12 divisors (see below), whose sum is σ = 40564640428. Its totient is φ = 18118200960.

The previous prime is 27630257009. The next prime is 27630257041. The reversal of 27630257013 is 31075203672.

27630257013 is a `hidden beast` number, since 2 + 7 + 630 + 2 + 5 + 7 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1779405489 + 25850851524 = 42183^2 + 160782^2 .

It is not a de Polignac number, because 27630257013 - 2² = 27630257009 is a prime.

It is a super-2 number, since 2×27630257013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27630257513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25163620 + ... + 25164717.

Almost surely, 2^27630257013 is an apocalyptic number.

It is an amenable number.

27630257013 is a deficient number, since it is larger than the sum of its proper divisors (12934383415).

27630257013 is a wasteful number, since it uses less digits than its factorization.

27630257013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50328404 (or 50328401 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 27630257013 in words is "twenty-seven billion, six hundred thirty million, two hundred fifty-seven thousand, thirteen".