306053790133 has 48 divisors (see below), whose sum is σ = 388346795760. Its totient is φ = 239049667584.

The previous prime is 306053790131. The next prime is 306053790137. The reversal of 306053790133 is 331097350603.

It can be written as a sum of positive squares in 8 ways, for example, as 3287531569 + 302766258564 = 57337^2 + 550242^2 .

It is not a de Polignac number, because 306053790133 - 2¹ = 306053790131 is a prime.

It is a super-3 number, since 3×306053790133³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306053790131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19224985 + ... + 19240897.

It is an arithmetic number, because the mean of its divisors is an integer number (8090558245).

Almost surely, 2^306053790133 is an apocalyptic number.

It is an amenable number.

306053790133 is a deficient number, since it is larger than the sum of its proper divisors (82293005627).

306053790133 is a wasteful number, since it uses less digits than its factorization.

306053790133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16319 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 40.

The spelling of 306053790133 in words is "three hundred six billion, fifty-three million, seven hundred ninety thousand, one hundred thirty-three".