3305351253125 has 48 divisors (see below), whose sum is σ = 4187917112400. Its totient is φ = 2608267200000.

The previous prime is 3305351253121. The next prime is 3305351253133. The reversal of 3305351253125 is 5213521535033.

3305351253125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 434082004801 + 2871269248324 = 658849^2 + 1694482^2 .

It is not a de Polignac number, because 3305351253125 - 2² = 3305351253121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305351253121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117076511 + ... + 117104739.

It is an arithmetic number, because the mean of its divisors is an integer number (87248273175).

Almost surely, 2^{3305351253125} is an apocalyptic number.

It is an amenable number.

3305351253125 is a deficient number, since it is larger than the sum of its proper divisors (882565859275).

3305351253125 is an frugal number, since it uses more digits than its factorization.

3305351253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28764 (or 28744 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 38.

Adding to 3305351253125 its reverse (5213521535033), we get a palindrome (8518872788158).

The spelling of 3305351253125 in words is "three trillion, three hundred five billion, three hundred fifty-one million, two hundred fifty-three thousand, one hundred twenty-five".