10825806137 has 2 divisors, whose sum is σ = 10825806138. Its totient is φ = 10825806136.

The previous prime is 10825806097. The next prime is 10825806139. The reversal of 10825806137 is 73160852801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5979000976 + 4846805161 = 77324^2 + 69619^2 .

It is a cyclic number.

It is not a de Polignac number, because 10825806137 - 2²² = 10821611833 is a prime.

Together with 10825806139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10825806094 and 10825806103.

It is not a weakly prime, because it can be changed into another prime (10825806139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5412903068 + 5412903069.

It is an arithmetic number, because the mean of its divisors is an integer number (5412903069).

Almost surely, 2^10825806137 is an apocalyptic number.

It is an amenable number.

10825806137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10825806137 is an equidigital number, since it uses as much as digits as its factorization.

10825806137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 10825806137 in words is "ten billion, eight hundred twenty-five million, eight hundred six thousand, one hundred thirty-seven".