306350073121 has 9 divisors (see below), whose sum is σ = 323333475633. Its totient is φ = 290216422260.

The previous prime is 306350073109. The next prime is 306350073143. The reversal of 306350073121 is 121370053603.

The square root of 306350073121 is 553489.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 306350073121 - 2¹⁹ = 306349548833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306350073151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10501726 + ... + 10530856.

It is an arithmetic number, because the mean of its divisors is an integer number (35925941737).

Almost surely, 2^306350073121 is an apocalyptic number.

306350073121 is the 553489-th square number.

306350073121 is the 276745-th centered octagonal number.

It is an amenable number.

306350073121 is a deficient number, since it is larger than the sum of its proper divisors (16983402512).

306350073121 is an frugal number, since it uses more digits than its factorization.

306350073121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58300 (or 29150 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The spelling of 306350073121 in words is "three hundred six billion, three hundred fifty million, seventy-three thousand, one hundred twenty-one".