1072583113 has 16 divisors (see below), whose sum is σ = 1234621440. Its totient is φ = 912773376.

The previous prime is 1072583089. The next prime is 1072583129. The reversal of 1072583113 is 3113852701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1072583113 is a prime.

It is a super-3 number, since 3×1072583113³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072583153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744648 + ... + 746086.

It is an arithmetic number, because the mean of its divisors is an integer number (77163840).

Almost surely, 2^1072583113 is an apocalyptic number.

It is an amenable number.

1072583113 is a deficient number, since it is larger than the sum of its proper divisors (162038327).

1072583113 is a wasteful number, since it uses less digits than its factorization.

1072583113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1072583113 is about 32750.3147007781. The cubic root of 1072583113 is about 1023.6315231160.

The spelling of 1072583113 in words is "one billion, seventy-two million, five hundred eighty-three thousand, one hundred thirteen".