209131797129 has 16 divisors (see below), whose sum is σ = 298493203200. Its totient is φ = 129844539216.

The previous prime is 209131797101. The next prime is 209131797131. The reversal of 209131797129 is 921797131902.

209131797129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 209131797129 - 2¹² = 209131793033 is a prime.

It is a super-3 number, since 3×209131797129³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (209131797829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31089679 + ... + 31096404.

It is an arithmetic number, because the mean of its divisors is an integer number (18655825200).

Almost surely, 2^209131797129 is an apocalyptic number.

It is an amenable number.

209131797129 is a deficient number, since it is larger than the sum of its proper divisors (89361406071).

209131797129 is a wasteful number, since it uses less digits than its factorization.

209131797129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62186164.

The product of its (nonzero) digits is 428652, while the sum is 51.

It can be divided in two parts, 209131797 and 129, that added together give a triangular number (209131926 = T₂₀₄₅₁).

The spelling of 209131797129 in words is "two hundred nine billion, one hundred thirty-one million, seven hundred ninety-seven thousand, one hundred twenty-nine".