209304997260129 has 81 divisors (see below), whose sum is σ = 309475991156241. Its totient is φ = 136313940874320.

The previous prime is 209304997260101. The next prime is 209304997260157. The reversal of 209304997260129 is 921062799403902.

The square root of 209304997260129 is 14467377.

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

209304997260129 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 0 + 499 + 72 + 60 + 12 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (209304997260101) and next prime (209304997260157).

It is a de Polignac number, because none of the positive numbers 2^k-209304997260129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209304997260169) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 485626443544 + ... + 485626443974.

Almost surely, 2^{209304997260129} is an apocalyptic number.

209304997260129 is the 14467377-th square number.

209304997260129 is the 7233689-th centered octagonal number.

It is an amenable number.

209304997260129 is a deficient number, since it is larger than the sum of its proper divisors (100170993896112).

209304997260129 is an frugal number, since it uses more digits than its factorization.

209304997260129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 209304997260129 in words is "two hundred nine trillion, three hundred four billion, nine hundred ninety-seven million, two hundred sixty thousand, one hundred twenty-nine".