27657121013 has 2 divisors, whose sum is σ = 27657121014. Its totient is φ = 27657121012.

The previous prime is 27657120989. The next prime is 27657121027. The reversal of 27657121013 is 31012175672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27104024689 + 553096324 = 164633^2 + 23518^2 .

It is a cyclic number.

It is not a de Polignac number, because 27657121013 - 2⁶ = 27657120949 is a prime.

It is a super-2 number, since 2×27657121013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27657121073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13828560506 + 13828560507.

It is an arithmetic number, because the mean of its divisors is an integer number (13828560507).

Almost surely, 2^27657121013 is an apocalyptic number.

It is an amenable number.

27657121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27657121013 is an equidigital number, since it uses as much as digits as its factorization.

27657121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 35.

Adding to 27657121013 its reverse (31012175672), we get a palindrome (58669296685).

The spelling of 27657121013 in words is "twenty-seven billion, six hundred fifty-seven million, one hundred twenty-one thousand, thirteen".