13045738795527 has 32 divisors (see below), whose sum is σ = 17884474223616. Its totient is φ = 8456177318400.

The previous prime is 13045738795511. The next prime is 13045738795543. The reversal of 13045738795527 is 72559783754031.

13045738795527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13045738795511) and next prime (13045738795543).

It is not a de Polignac number, because 13045738795527 - 2⁴ = 13045738795511 is a prime.

It is a super-2 number, since 2×13045738795527² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045738795577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053613 + ... + 6520985.

It is an arithmetic number, because the mean of its divisors is an integer number (558889819488).

Almost surely, 2^{13045738795527} is an apocalyptic number.

13045738795527 is a deficient number, since it is larger than the sum of its proper divisors (4838735428089).

13045738795527 is a wasteful number, since it uses less digits than its factorization.

13045738795527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467791.

The product of its (nonzero) digits is 222264000, while the sum is 66.

The spelling of 13045738795527 in words is "thirteen trillion, forty-five billion, seven hundred thirty-eight million, seven hundred ninety-five thousand, five hundred twenty-seven".