1001982033 has 24 divisors (see below), whose sum is σ = 1580604480. Its totient is φ = 607914720.

The previous prime is 1001982029. The next prime is 1001982041. The reversal of 1001982033 is 3302891001.

It is not a de Polignac number, because 1001982033 - 2² = 1001982029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001981988 and 1001982006.

It is not an unprimeable number, because it can be changed into a prime (1001982053) 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, 52003 + ... + 68616.

It is an arithmetic number, because the mean of its divisors is an integer number (65858520).

Almost surely, 2^1001982033 is an apocalyptic number.

1001982033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001982033 is a deficient number, since it is larger than the sum of its proper divisors (578622447).

1001982033 is a wasteful number, since it uses less digits than its factorization.

1001982033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120709 (or 120706 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1001982033 is about 31654.0997818608. The cubic root of 1001982033 is about 1000.6602416517.

The spelling of 1001982033 in words is "one billion, one million, nine hundred eighty-two thousand, thirty-three".