10582112834077 has 2 divisors, whose sum is σ = 10582112834078. Its totient is φ = 10582112834076.

The previous prime is 10582112834021. The next prime is 10582112834131. The reversal of 10582112834077 is 77043821128501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10491548552356 + 90564281721 = 3239066^2 + 300939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10582112834077 - 2⁷ = 10582112833949 is a prime.

It is a super-2 number, since 2×10582112834077² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10582112834077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10582110834077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291056417038 + 5291056417039.

It is an arithmetic number, because the mean of its divisors is an integer number (5291056417039).

Almost surely, 2^{10582112834077} is an apocalyptic number.

It is an amenable number.

10582112834077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10582112834077 is an equidigital number, since it uses as much as digits as its factorization.

10582112834077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 752640, while the sum is 49.

The spelling of 10582112834077 in words is "ten trillion, five hundred eighty-two billion, one hundred twelve million, eight hundred thirty-four thousand, seventy-seven".