1085407665241 has 3 divisors (see below), whose sum is σ = 1085408707071. Its totient is φ = 1085406623412.

The previous prime is 1085407665229. The next prime is 1085407665271. The reversal of 1085407665241 is 1425667045801.

The square root of 1085407665241 is 1041829.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 738604455241 + 346803210000 = 859421^2 + 588900^2 .

It is not a de Polignac number, because 1085407665241 - 2¹⁹ = 1085407140953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085407665271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 520915 + ... + 1562743.

It is an arithmetic number, because the mean of its divisors is an integer number (361802902357).

Almost surely, 2^{1085407665241} is an apocalyptic number.

1085407665241 is the 1041829-th square number.

1085407665241 is the 520915-th centered octagonal number.

It is an amenable number.

1085407665241 is a deficient number, since it is larger than the sum of its proper divisors (1041830).

1085407665241 is an frugal number, since it uses more digits than its factorization.

1085407665241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083658 (or 1041829 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 1085407665241 by its sum of digits (49), we get a square (53184975596809 = 7292803²).

The spelling of 1085407665241 in words is "one trillion, eighty-five billion, four hundred seven million, six hundred sixty-five thousand, two hundred forty-one".