127054463809 has 27 divisors (see below), whose sum is σ = 160082543817. Its totient is φ = 100500944544.

The previous prime is 127054463777. The next prime is 127054463911. The reversal of 127054463809 is 908364450721.

It is a happy number.

The square root of 127054463809 is 356447.

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 403889409 + 126650574400 = 20097^2 + 355880^2 .

It is not a de Polignac number, because 127054463809 - 2⁵ = 127054463777 is a prime.

It is a super-2 number, since 2×127054463809² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (127054460809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32434719 + ... + 32438635.

It is a 1-persistent number, because it is pandigital, but 2⋅127054463809 = 254108927618 is not.

Almost surely, 2^127054463809 is an apocalyptic number.

127054463809 is the 356447-th square number.

127054463809 is the 178224-th centered octagonal number.

It is an amenable number.

127054463809 is a deficient number, since it is larger than the sum of its proper divisors (33028080008).

127054463809 is an frugal number, since it uses more digits than its factorization.

127054463809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 127054463809 by its sum of digits (49), we get a square (6225668726641 = 2495129²).

127054463809 divided by its sum of digits (49) gives a square (2592948241 = 50921²).

The spelling of 127054463809 in words is "one hundred twenty-seven billion, fifty-four million, four hundred sixty-three thousand, eight hundred nine".