1001535197085 has 12 divisors (see below), whose sum is σ = 1735994341692. Its totient is φ = 534152105088.

The previous prime is 1001535197077. The next prime is 1001535197101. The reversal of 1001535197085 is 5807915351001.

1001535197085 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 53 + 519 + 7 + 0 + 85 = 666.

1001535197085 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150545552004 + 850989645081 = 388002^2 + 922491^2 .

It is not a de Polignac number, because 1001535197085 - 2³ = 1001535197077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 22256337713 = 1001535197085 / (1 + 0 + 0 + 1 + 5 + 3 + 5 + 1 + 9 + 7 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1001535197085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11128168812 + ... + 11128168901.

It is an arithmetic number, because the mean of its divisors is an integer number (144666195141).

Almost surely, 2^{1001535197085} is an apocalyptic number.

1001535197085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001535197085 is a deficient number, since it is larger than the sum of its proper divisors (734459144607).

1001535197085 is a wasteful number, since it uses less digits than its factorization.

1001535197085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22256337724 (or 22256337721 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 1001535197085 in words is "one trillion, one billion, five hundred thirty-five million, one hundred ninety-seven thousand, eighty-five".