2355313298209 has 9 divisors (see below), whose sum is σ = 2359148614707. Its totient is φ = 2351484214224.

The previous prime is 2355313298171. The next prime is 2355313298213. The reversal of 2355313298209 is 9028923135532.

The square root of 2355313298209 is 1534703.

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., 669803112225 + 1685510185984 = 818415^2 + 1298272^2 .

It is not a de Polignac number, because 2355313298209 - 2⁷ = 2355313298081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2355313298279) 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, 1683568492 + ... + 1683569890.

Almost surely, 2^{2355313298209} is an apocalyptic number.

2355313298209 is the 1534703-rd square number.

2355313298209 is the 767352-nd centered octagonal number.

It is an amenable number.

2355313298209 is a deficient number, since it is larger than the sum of its proper divisors (3835316498).

2355313298209 is an frugal number, since it uses more digits than its factorization.

2355313298209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 2355313298209 in words is "two trillion, three hundred fifty-five billion, three hundred thirteen million, two hundred ninety-eight thousand, two hundred nine".