127182817129 has 9 divisors (see below), whose sum is σ = 127616162583. Its totient is φ = 126750941832.

The previous prime is 127182817121. The next prime is 127182817133. The reversal of 127182817129 is 921718281721.

The square root of 127182817129 is 356627.

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., 16972096729 + 110210720400 = 130277^2 + 331980^2 .

It is not a de Polignac number, because 127182817129 - 2³ = 127182817121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127182817121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 179383027 + ... + 179383735.

Almost surely, 2^127182817129 is an apocalyptic number.

127182817129 is the 356627-th square number.

127182817129 is the 178314-th centered octagonal number.

It is an amenable number.

127182817129 is a deficient number, since it is larger than the sum of its proper divisors (433345454).

127182817129 is an frugal number, since it uses more digits than its factorization.

127182817129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its digits is 225792, while the sum is 49.

Multiplying 127182817129 by its sum of digits (49), we get a square (6231958039321 = 2496389²).

It can be divided in two parts, 12718281712 and 9, that added together give a palindrome (12718281721).

The spelling of 127182817129 in words is "one hundred twenty-seven billion, one hundred eighty-two million, eight hundred seventeen thousand, one hundred twenty-nine".