1085085301157 has 128 divisors (see below), whose sum is σ = 1361663073792. Its totient is φ = 858498600960.

The previous prime is 1085085301127. The next prime is 1085085301163. The reversal of 1085085301157 is 7511035805801.

It is not a de Polignac number, because 1085085301157 - 2⁶ = 1085085301093 is a prime.

It is a super-2 number, since 2×1085085301157² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085085301117) 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 127 ways as a sum of consecutive naturals, for example, 3834223538 + ... + 3834223820.

It is an arithmetic number, because the mean of its divisors is an integer number (10637992764).

Almost surely, 2^{1085085301157} is an apocalyptic number.

It is an amenable number.

1085085301157 is a deficient number, since it is larger than the sum of its proper divisors (276577772635).

1085085301157 is a wasteful number, since it uses less digits than its factorization.

1085085301157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 44.

The spelling of 1085085301157 in words is "one trillion, eighty-five billion, eighty-five million, three hundred one thousand, one hundred fifty-seven".