10013157577 has 2 divisors, whose sum is σ = 10013157578. Its totient is φ = 10013157576.

The previous prime is 10013157569. The next prime is 10013157593. The reversal of 10013157577 is 77575131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8820215056 + 1192942521 = 93916^2 + 34539^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013157577 - 2³ = 10013157569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013137577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006578788 + 5006578789.

It is an arithmetic number, because the mean of its divisors is an integer number (5006578789).

Almost surely, 2^10013157577 is an apocalyptic number.

It is an amenable number.

10013157577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013157577 is an equidigital number, since it uses as much as digits as its factorization.

10013157577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25725, while the sum is 37.

Adding to 10013157577 its reverse (77575131001), we get a palindrome (87588288578).

The spelling of 10013157577 in words is "ten billion, thirteen million, one hundred fifty-seven thousand, five hundred seventy-seven".