1085378517 has 24 divisors (see below), whose sum is σ = 1578432960. Its totient is φ = 718683840.

The previous prime is 1085378507. The next prime is 1085378531. The reversal of 1085378517 is 7158735801.

1085378517 is a `hidden beast` number, since 10 + 8 + 53 + 78 + 517 = 666.

It is not a de Polignac number, because 1085378517 - 2¹⁵ = 1085345749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085378507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180584 + ... + 1181502.

It is an arithmetic number, because the mean of its divisors is an integer number (65768040).

Almost surely, 2^1085378517 is an apocalyptic number.

It is an amenable number.

1085378517 is a deficient number, since it is larger than the sum of its proper divisors (493054443).

1085378517 is a wasteful number, since it uses less digits than its factorization.

1085378517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The square root of 1085378517 is about 32945.0833509342. The cubic root of 1085378517 is about 1027.6859215661.

The spelling of 1085378517 in words is "one billion, eighty-five million, three hundred seventy-eight thousand, five hundred seventeen".