305240226561 has 24 divisors (see below), whose sum is σ = 457302239784. Its totient is φ = 196033305600.

The previous prime is 305240226547. The next prime is 305240226583. The reversal of 305240226561 is 165622042503.

305240226561 is a `hidden beast` number, since 3 + 0 + 52 + 40 + 2 + 2 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177902586225 + 127337640336 = 421785^2 + 356844^2 .

It is not a de Polignac number, because 305240226561 - 2¹⁸ = 305239964417 is a prime.

It is a super-2 number, since 2×305240226561² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305240226461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4504176 + ... + 4571441.

It is an arithmetic number, because the mean of its divisors is an integer number (19054259991).

Almost surely, 2^305240226561 is an apocalyptic number.

It is an amenable number.

305240226561 is a deficient number, since it is larger than the sum of its proper divisors (152062013223).

305240226561 is a wasteful number, since it uses less digits than its factorization.

305240226561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075761 (or 9075758 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 305240226561 in words is "three hundred five billion, two hundred forty million, two hundred twenty-six thousand, five hundred sixty-one".