1011085931 has 8 divisors (see below), whose sum is σ = 1126907280. Its totient is φ = 901525248.

The previous prime is 1011085849. The next prime is 1011085991. The reversal of 1011085931 is 1395801101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011085931 is a prime.

It is a super-2 number, since 2×1011085931² = 2044589519732273522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011085894 and 1011085903.

It is not an unprimeable number, because it can be changed into a prime (1011085991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1564826 + ... + 1565471.

It is an arithmetic number, because the mean of its divisors is an integer number (140863410).

Almost surely, 2^1011085931 is an apocalyptic number.

1011085931 is a deficient number, since it is larger than the sum of its proper divisors (115821349).

1011085931 is a wasteful number, since it uses less digits than its factorization.

1011085931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130333.

The product of its (nonzero) digits is 1080, while the sum is 29.

The square root of 1011085931 is about 31797.5774391698. The cubic root of 1011085931 is about 1003.6817384994.

The spelling of 1011085931 in words is "one billion, eleven million, eighty-five thousand, nine hundred thirty-one".