10738261111517 has 2 divisors, whose sum is σ = 10738261111518. Its totient is φ = 10738261111516.

The previous prime is 10738261111489. The next prime is 10738261111553. The reversal of 10738261111517 is 71511116283701.

10738261111517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6135301118116 + 4602959993401 = 2476954^2 + 2145451^2 .

It is a cyclic number.

It is not a de Polignac number, because 10738261111517 - 2³² = 10733966144221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10738261110517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5369130555758 + 5369130555759.

It is an arithmetic number, because the mean of its divisors is an integer number (5369130555759).

Almost surely, 2^{10738261111517} is an apocalyptic number.

It is an amenable number.

10738261111517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10738261111517 is an equidigital number, since it uses as much as digits as its factorization.

10738261111517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 44.

The spelling of 10738261111517 in words is "ten trillion, seven hundred thirty-eight billion, two hundred sixty-one million, one hundred eleven thousand, five hundred seventeen".