1009813044195 has 192 divisors, whose sum is σ = 1915772601600. Its totient is φ = 490497638400.

The previous prime is 1009813044181. The next prime is 1009813044209. The reversal of 1009813044195 is 5914403189001.

1009813044195 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 1 + 30 + 441 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (1009813044181) and next prime (1009813044209).

It is not a de Polignac number, because 1009813044195 - 2¹⁶ = 1009812978659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1009813044195.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 840809595 + ... + 840810795.

It is an arithmetic number, because the mean of its divisors is an integer number (9977982300).

Almost surely, 2^{1009813044195} is an apocalyptic number.

1009813044195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1009813044195 is a deficient number, since it is larger than the sum of its proper divisors (905959557405).

1009813044195 is a wasteful number, since it uses less digits than its factorization.

1009813044195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1009813044195 in words is "one trillion, nine billion, eight hundred thirteen million, forty-four thousand, one hundred ninety-five".