1085008408137 has 6 divisors (see below), whose sum is σ = 1567234367322. Its totient is φ = 723338938752.

The previous prime is 1085008408103. The next prime is 1085008408139. The reversal of 1085008408137 is 7318048005801.

It is a happy number.

1085008408137 is a `hidden beast` number, since 1 + 0 + 8 + 500 + 8 + 4 + 0 + 8 + 137 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1051242140601 + 33766267536 = 1025301^2 + 183756^2 .

It is not a de Polignac number, because 1085008408137 - 2¹¹ = 1085008406089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1085008408092 and 1085008408101.

It is not an unprimeable number, because it can be changed into a prime (1085008408139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60278244888 + ... + 60278244905.

It is an arithmetic number, because the mean of its divisors is an integer number (261205727887).

Almost surely, 2^{1085008408137} is an apocalyptic number.

It is an amenable number.

1085008408137 is a deficient number, since it is larger than the sum of its proper divisors (482225959185).

1085008408137 is a wasteful number, since it uses less digits than its factorization.

1085008408137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120556489799 (or 120556489796 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1085008408137 in words is "one trillion, eighty-five billion, eight million, four hundred eight thousand, one hundred thirty-seven".