1009606058145 has 96 divisors (see below), whose sum is σ = 1906550755200. Its totient is φ = 492283008000.

The previous prime is 1009606058089. The next prime is 1009606058147. The reversal of 1009606058145 is 5418506069001.

1009606058145 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 0 + 60 + 581 + 4 + 5 = 666.

It is not a de Polignac number, because 1009606058145 - 2⁶ = 1009606058081 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 1009606058145.

It is not an unprimeable number, because it can be changed into a prime (1009606058147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56548470 + ... + 56566320.

It is an arithmetic number, because the mean of its divisors is an integer number (19859903700).

Almost surely, 2^{1009606058145} is an apocalyptic number.

1009606058145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1009606058145 is a deficient number, since it is larger than the sum of its proper divisors (896944697055).

1009606058145 is a wasteful number, since it uses less digits than its factorization.

1009606058145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20191 (or 20188 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1009606058145 in words is "one trillion, nine billion, six hundred six million, fifty-eight thousand, one hundred forty-five".