306515146121 has 48 divisors (see below), whose sum is σ = 336374009712. Its totient is φ = 278299607040.

The previous prime is 306515146117. The next prime is 306515146177. The reversal of 306515146121 is 121641515603.

It can be written as a sum of positive squares in 24 ways, for example, as 278719587721 + 27795558400 = 527939^2 + 166720^2 .

It is not a de Polignac number, because 306515146121 - 2² = 306515146117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306515146111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979281461 + ... + 979281773.

It is an arithmetic number, because the mean of its divisors is an integer number (7007791869).

Almost surely, 2^306515146121 is an apocalyptic number.

It is an amenable number.

306515146121 is a deficient number, since it is larger than the sum of its proper divisors (29858863591).

306515146121 is a wasteful number, since it uses less digits than its factorization.

306515146121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 306515146121 in words is "three hundred six billion, five hundred fifteen million, one hundred forty-six thousand, one hundred twenty-one".