7820505033 has 24 divisors (see below), whose sum is σ = 11511628800. Its totient is φ = 4718952480.

The previous prime is 7820505031. The next prime is 7820505059. The reversal of 7820505033 is 3305050287.

It is not a de Polignac number, because 7820505033 - 2¹ = 7820505031 is a prime.

It is a super-2 number, since 2×7820505033² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 7820504985 and 7820505003.

It is not an unprimeable number, because it can be changed into a prime (7820505031) 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, 36088 + ... + 130166.

It is an arithmetic number, because the mean of its divisors is an integer number (479651200).

Almost surely, 2^7820505033 is an apocalyptic number.

It is an amenable number.

7820505033 is a deficient number, since it is larger than the sum of its proper divisors (3691123767).

7820505033 is a wasteful number, since it uses less digits than its factorization.

7820505033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94333 (or 94322 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 7820505033 is about 88433.6193593816. The cubic root of 7820505033 is about 1984.9288008352.

The spelling of 7820505033 in words is "seven billion, eight hundred twenty million, five hundred five thousand, thirty-three".