1038085106533 has 2 divisors, whose sum is σ = 1038085106534. Its totient is φ = 1038085106532.

The previous prime is 1038085106507. The next prime is 1038085106543. The reversal of 1038085106533 is 3356015808301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990936629764 + 47148476769 = 995458^2 + 217137^2 .

It is a cyclic number.

It is not a de Polignac number, because 1038085106533 - 2³⁷ = 900646153061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1038085106533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1038085106543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519042553266 + 519042553267.

It is an arithmetic number, because the mean of its divisors is an integer number (519042553267).

Almost surely, 2^{1038085106533} is an apocalyptic number.

It is an amenable number.

1038085106533 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038085106533 is an equidigital number, since it uses as much as digits as its factorization.

1038085106533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 1038085106533 in words is "one trillion, thirty-eight billion, eighty-five million, one hundred six thousand, five hundred thirty-three".