10352828105981 has 2 divisors, whose sum is σ = 10352828105982. Its totient is φ = 10352828105980.

The previous prime is 10352828105819. The next prime is 10352828106007. The reversal of 10352828105981 is 18950182825301.

10352828105981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10352828105819) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6635389605625 + 3717438500356 = 2575925^2 + 1928066^2 .

It is a cyclic number.

It is not a de Polignac number, because 10352828105981 - 2¹⁸ = 10352827843837 is a prime.

It is a super-2 number, since 2×10352828105981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10352828104981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5176414052990 + 5176414052991.

It is an arithmetic number, because the mean of its divisors is an integer number (5176414052991).

Almost surely, 2^{10352828105981} is an apocalyptic number.

It is an amenable number.

10352828105981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10352828105981 is an equidigital number, since it uses as much as digits as its factorization.

10352828105981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382400, while the sum is 53.

The spelling of 10352828105981 in words is "ten trillion, three hundred fifty-two billion, eight hundred twenty-eight million, one hundred five thousand, nine hundred eighty-one".