7135563864101 has 2 divisors, whose sum is σ = 7135563864102. Its totient is φ = 7135563864100.

The previous prime is 7135563864073. The next prime is 7135563864103. The reversal of 7135563864101 is 1014683655317.

7135563864101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6807538483876 + 328025380225 = 2609126^2 + 572735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7135563864101 is a prime.

Together with 7135563864103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7135563864101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7135563864103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3567781932050 + 3567781932051.

It is an arithmetic number, because the mean of its divisors is an integer number (3567781932051).

Almost surely, 2^{7135563864101} is an apocalyptic number.

It is an amenable number.

7135563864101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7135563864101 is an equidigital number, since it uses as much as digits as its factorization.

7135563864101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 7135563864101 in words is "seven trillion, one hundred thirty-five billion, five hundred sixty-three million, eight hundred sixty-four thousand, one hundred one".