306631310049 has 21 divisors (see below), whose sum is σ = 459759072963. Its totient is φ = 204410905992.

The previous prime is 306631309997. The next prime is 306631310059. The reversal of 306631310049 is 940013136603.

The square root of 306631310049 is 553743.

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

306631310049 is a `hidden beast` number, since 3 + 0 + 6 + 631 + 3 + 10 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62496500049 + 244134810000 = 249993^2 + 494100^2 .

It is not a de Polignac number, because 306631310049 - 2⁷ = 306631309921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 306631309995 and 306631310022.

It is not an unprimeable number, because it can be changed into a prime (306631310059) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14940807 + ... + 14961315.

Almost surely, 2^306631310049 is an apocalyptic number.

306631310049 is the 553743-rd square number.

306631310049 is the 276872-nd centered octagonal number.

It is an amenable number.

306631310049 is a deficient number, since it is larger than the sum of its proper divisors (153127762914).

306631310049 is an frugal number, since it uses more digits than its factorization.

306631310049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41036 (or 20512 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 306631310049 by its sum of digits (36), we get a square (11038727161764 = 3322458²).

The spelling of 306631310049 in words is "three hundred six billion, six hundred thirty-one million, three hundred ten thousand, forty-nine".