8075413563349 has 36 divisors (see below), whose sum is σ = 9027724378764. Its totient is φ = 7218083664000.

The previous prime is 8075413563317. The next prime is 8075413563379. The reversal of 8075413563349 is 9433653145708.

It can be written as a sum of positive squares in 2 ways, for example, as 5933048566225 + 2142364997124 = 2435785^2 + 1463682^2 .

It is not a de Polignac number, because 8075413563349 - 2⁵ = 8075413563317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8075413563293 and 8075413563302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8075413563379) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293840689 + ... + 293868169.

Almost surely, 2^{8075413563349} is an apocalyptic number.

It is an amenable number.

8075413563349 is a deficient number, since it is larger than the sum of its proper divisors (952310815415).

8075413563349 is a wasteful number, since it uses less digits than its factorization.

8075413563349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28178 (or 28100 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 8075413563349 in words is "eight trillion, seventy-five billion, four hundred thirteen million, five hundred sixty-three thousand, three hundred forty-nine".