305312607601 has 9 divisors (see below), whose sum is σ = 324338596491. Its totient is φ = 287344201632.

The previous prime is 305312607563. The next prime is 305312607617. The reversal of 305312607601 is 106706213503.

The square root of 305312607601 is 552551.

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

It can be written as a sum of positive squares in only one way, i.e., 237700127025 + 67612480576 = 487545^2 + 260024^2 .

It is not a de Polignac number, because 305312607601 - 2²⁹ = 304775736689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305312607631) 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, 9377116 + ... + 9409618.

Almost surely, 2^305312607601 is an apocalyptic number.

305312607601 is the 552551-st square number.

305312607601 is the 276276-th centered octagonal number.

It is an amenable number.

305312607601 is a deficient number, since it is larger than the sum of its proper divisors (19025988890).

305312607601 is an frugal number, since it uses more digits than its factorization.

305312607601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65040 (or 32520 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 305312607601 in words is "three hundred five billion, three hundred twelve million, six hundred seven thousand, six hundred one".