3305225312541 has 12 divisors (see below), whose sum is σ = 4789274957532. Its totient is φ = 2196532487616.

The previous prime is 3305225312503. The next prime is 3305225312603. The reversal of 3305225312541 is 1452135225033.

3305225312541 is a `hidden beast` number, since 3 + 3 + 0 + 52 + 2 + 53 + 12 + 541 = 666.

3305225312541 is digitally balanced in base 2, 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 2 ways, for example, as 1854079829316 + 1451145483225 = 1361646^2 + 1204635^2 .

It is not a de Polignac number, because 3305225312541 - 2¹³ = 3305225304349 is a prime.

It is a super-2 number, since 2×3305225312541² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3305225312496 and 3305225312505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305225319541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579251496 + ... + 579257201.

It is an arithmetic number, because the mean of its divisors is an integer number (399106246461).

Almost surely, 2^{3305225312541} is an apocalyptic number.

It is an amenable number.

3305225312541 is a deficient number, since it is larger than the sum of its proper divisors (1484049644991).

3305225312541 is a wasteful number, since it uses less digits than its factorization.

3305225312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158509020 (or 1158509017 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3305225312541 in words is "three trillion, three hundred five billion, two hundred twenty-five million, three hundred twelve thousand, five hundred forty-one".