1012973033 has 6 divisors (see below), whose sum is σ = 1076065086. Its totient is φ = 953386112.

The previous prime is 1012973023. The next prime is 1012973041. The reversal of 1012973033 is 3303792101.

It can be written as a sum of positive squares in 3 ways, for example, as 417466624 + 595506409 = 20432^2 + 24403^2 .

It is not a de Polignac number, because 1012973033 - 2⁸ = 1012972777 is a prime.

It is a super-3 number, since 3×1012973033³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012972987 and 1012973005.

It is not an unprimeable number, because it can be changed into a prime (1012973023) 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 5 ways as a sum of consecutive naturals, for example, 1752260 + ... + 1752837.

It is an arithmetic number, because the mean of its divisors is an integer number (179344181).

Almost surely, 2^1012973033 is an apocalyptic number.

It is an amenable number.

1012973033 is a deficient number, since it is larger than the sum of its proper divisors (63092053).

1012973033 is an equidigital number, since it uses as much as digits as its factorization.

1012973033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505131 (or 3505114 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 1012973033 is about 31827.2372819257. The cubic root of 1012973033 is about 1004.3057779998.

The spelling of 1012973033 in words is "one billion, twelve million, nine hundred seventy-three thousand, thirty-three".