10872814109257 has 2 divisors, whose sum is σ = 10872814109258. Its totient is φ = 10872814109256.

The previous prime is 10872814109243. The next prime is 10872814109281. The reversal of 10872814109257 is 75290141827801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6878508081481 + 3994306027776 = 2622691^2 + 1998576^2 .

It is an emirp because it is prime and its reverse (75290141827801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10872814109257 - 2²⁷ = 10872679891529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10872814109198 and 10872814109207.

It is not a weakly prime, because it can be changed into another prime (10872814109237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5436407054628 + 5436407054629.

It is an arithmetic number, because the mean of its divisors is an integer number (5436407054629).

Almost surely, 2^{10872814109257} is an apocalyptic number.

It is an amenable number.

10872814109257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10872814109257 is an equidigital number, since it uses as much as digits as its factorization.

10872814109257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 10872814109257 in words is "ten trillion, eight hundred seventy-two billion, eight hundred fourteen million, one hundred nine thousand, two hundred fifty-seven".