1085031205537 has 2 divisors, whose sum is σ = 1085031205538. Its totient is φ = 1085031205536.

The previous prime is 1085031205487. The next prime is 1085031205597. The reversal of 1085031205537 is 7355021305801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006177511056 + 78853694481 = 1003084^2 + 280809^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085031205537 - 2³¹ = 1082883721889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1085031205537.

It is not a weakly prime, because it can be changed into another prime (1085031205597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542515602768 + 542515602769.

It is an arithmetic number, because the mean of its divisors is an integer number (542515602769).

Almost surely, 2^{1085031205537} is an apocalyptic number.

It is an amenable number.

1085031205537 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085031205537 is an equidigital number, since it uses as much as digits as its factorization.

1085031205537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 1085031205537 in words is "one trillion, eighty-five billion, thirty-one million, two hundred five thousand, five hundred thirty-seven".