34003301125 has 16 divisors (see below), whose sum is σ = 43899438960. Its totient is φ = 26264616000.

The previous prime is 34003301093. The next prime is 34003301147. The reversal of 34003301125 is 52110330043.

It can be written as a sum of positive squares in 8 ways, for example, as 21423884161 + 12579416964 = 146369^2 + 112158^2 .

It is not a de Polignac number, because 34003301125 - 2⁵ = 34003301093 is a prime.

It is a super-3 number, since 3×34003301125³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34003301096 and 34003301105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4686486 + ... + 4693735.

It is an arithmetic number, because the mean of its divisors is an integer number (2743714935).

Almost surely, 2^34003301125 is an apocalyptic number.

It is an amenable number.

34003301125 is a deficient number, since it is larger than the sum of its proper divisors (9896137835).

34003301125 is an equidigital number, since it uses as much as digits as its factorization.

34003301125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380265 (or 9380255 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 34003301125 its reverse (52110330043), we get a palindrome (86113631168).

The spelling of 34003301125 in words is "thirty-four billion, three million, three hundred one thousand, one hundred twenty-five".