1085907800761 has 9 divisors (see below), whose sum is σ = 1263207355749. Its totient is φ = 930771862524.

The previous prime is 1085907800759. The next prime is 1085907800773. The reversal of 1085907800761 is 1670087095801.

The square root of 1085907800761 is 1042069.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1085907800761 - 2¹ = 1085907800759 is a prime.

It is a super-3 number, since 3×1085907800761³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1085907800699 and 1085907800708.

It is not an unprimeable number, because it can be changed into a prime (1085907800711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7220050 + ... + 7368916.

It is an arithmetic number, because the mean of its divisors is an integer number (140356372861).

Almost surely, 2^{1085907800761} is an apocalyptic number.

1085907800761 is the 1042069-th square number.

1085907800761 is the 521035-th centered octagonal number.

It is an amenable number.

1085907800761 is a deficient number, since it is larger than the sum of its proper divisors (177299554988).

1085907800761 is an frugal number, since it uses more digits than its factorization.

1085907800761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297748 (or 148874 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 52.

The spelling of 1085907800761 in words is "one trillion, eighty-five billion, nine hundred seven million, eight hundred thousand, seven hundred sixty-one".