19730271283129 has 81 divisors (see below), whose sum is σ = 23386815229197. Its totient is φ = 16630387488000.

The previous prime is 19730271283123. The next prime is 19730271283169. The reversal of 19730271283129 is 92138217203791.

The square root of 19730271283129 is 4441877.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12379947805225 + 7350323477904 = 3518515^2 + 2711148^2 .

It is not a de Polignac number, because 19730271283129 - 2⁴¹ = 17531248027577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19730271283129.

It is not an unprimeable number, because it can be changed into a prime (19730271283123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49202671329 + ... + 49202671729.

Almost surely, 2^{19730271283129} is an apocalyptic number.

19730271283129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

19730271283129 is the 4441877-th square number.

19730271283129 is the 2220939-th centered octagonal number.

It is an amenable number.

19730271283129 is a deficient number, since it is larger than the sum of its proper divisors (3656543946068).

19730271283129 is an frugal number, since it uses more digits than its factorization.

19730271283129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 19730271283129 in words is "nineteen trillion, seven hundred thirty billion, two hundred seventy-one million, two hundred eighty-three thousand, one hundred twenty-nine".