10093057574129 has 2 divisors, whose sum is σ = 10093057574130. Its totient is φ = 10093057574128.

The previous prime is 10093057574099. The next prime is 10093057574189. The reversal of 10093057574129 is 92147575039001.

10093057574129 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., 9054971685904 + 1038085888225 = 3009148^2 + 1018865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10093057574129 is a prime.

It is a super-2 number, since 2×10093057574129² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10093057574189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5046528787064 + 5046528787065.

It is an arithmetic number, because the mean of its divisors is an integer number (5046528787065).

Almost surely, 2^{10093057574129} is an apocalyptic number.

It is an amenable number.

10093057574129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093057574129 is an equidigital number, since it uses as much as digits as its factorization.

10093057574129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2381400, while the sum is 53.

The spelling of 10093057574129 in words is "ten trillion, ninety-three billion, fifty-seven million, five hundred seventy-four thousand, one hundred twenty-nine".