733006004225 has 96 divisors (see below), whose sum is σ = 1050250779648. Its totient is φ = 502479360000.

The previous prime is 733006004221. The next prime is 733006004299. The reversal of 733006004225 is 522400600337.

It is not a de Polignac number, because 733006004225 - 2² = 733006004221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 733006004191 and 733006004200.

It is not an unprimeable number, because it can be changed into a prime (733006004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270181469 + ... + 270184181.

It is an arithmetic number, because the mean of its divisors is an integer number (10940112288).

It is a Proth number, since it is equal to 699049 ⋅ 2²⁰ + 1 and 699049 < 2²⁰.

Almost surely, 2^733006004225 is an apocalyptic number.

733006004225 is the 699050-th pentagonal number.

It is an amenable number.

733006004225 is a deficient number, since it is larger than the sum of its proper divisors (317244775423).

733006004225 is a wasteful number, since it uses less digits than its factorization.

733006004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 733006004225 in words is "seven hundred thirty-three billion, six million, four thousand, two hundred twenty-five".