127583252769 has 48 divisors (see below), whose sum is σ = 201171949440. Its totient is φ = 70452633600.

The previous prime is 127583252759. The next prime is 127583252789. The reversal of 127583252769 is 967252385721.

It is not a de Polignac number, because 127583252769 - 2¹⁶ = 127583187233 is a prime.

It is a super-2 number, since 2×127583252769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127583252749) 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 47 ways as a sum of consecutive naturals, for example, 15515079 + ... + 15523299.

It is an arithmetic number, because the mean of its divisors is an integer number (4191082280).

Almost surely, 2^127583252769 is an apocalyptic number.

It is an amenable number.

127583252769 is a deficient number, since it is larger than the sum of its proper divisors (73588696671).

127583252769 is an equidigital number, since it uses as much as digits as its factorization.

127583252769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9031 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The spelling of 127583252769 in words is "one hundred twenty-seven billion, five hundred eighty-three million, two hundred fifty-two thousand, seven hundred sixty-nine".