10582338337 has 2 divisors, whose sum is σ = 10582338338. Its totient is φ = 10582338336.

The previous prime is 10582338289. The next prime is 10582338359. The reversal of 10582338337 is 73383328501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10280134881 + 302203456 = 101391^2 + 17384^2 .

It is a cyclic number.

It is not a de Polignac number, because 10582338337 - 2⁷ = 10582338209 is a prime.

It is a super-2 number, since 2×10582338337² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10582338293 and 10582338302.

It is not a weakly prime, because it can be changed into another prime (10582338737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291169168 + 5291169169.

It is an arithmetic number, because the mean of its divisors is an integer number (5291169169).

Almost surely, 2^10582338337 is an apocalyptic number.

It is an amenable number.

10582338337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10582338337 is an equidigital number, since it uses as much as digits as its factorization.

10582338337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 10582338337 in words is "ten billion, five hundred eighty-two million, three hundred thirty-eight thousand, three hundred thirty-seven".