1065417313275 has 144 divisors (see below), whose sum is σ = 2227036032000. Its totient is φ = 486689999040.

The previous prime is 1065417313109. The next prime is 1065417313307. The reversal of 1065417313275 is 5723137145601.

1065417313275 is a `hidden beast` number, since 1 + 0 + 6 + 54 + 17 + 313 + 275 = 666.

It is not a de Polignac number, because 1065417313275 - 2⁸ = 1065417313019 is a prime.

It is a super-2 number, since 2×1065417313275² (a number of 25 digits) contains 22 as substring.

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 1065417313275.

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 143 ways as a sum of consecutive naturals, for example, 124942062 + ... + 124950588.

It is an arithmetic number, because the mean of its divisors is an integer number (15465528000).

Almost surely, 2^{1065417313275} is an apocalyptic number.

1065417313275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1065417313275 is an abundant number, since it is smaller than the sum of its proper divisors (1161618718725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1065417313275 is a wasteful number, since it uses less digits than its factorization.

1065417313275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1065417313275 in words is "one trillion, sixty-five billion, four hundred seventeen million, three hundred thirteen thousand, two hundred seventy-five".