127867032225 has 81 divisors (see below), whose sum is σ = 236958391449. Its totient is φ = 65910067200.

The previous prime is 127867032211. The next prime is 127867032233. The reversal of 127867032225 is 522230768721.

The square root of 127867032225 is 357585.

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 7921178001 + 119945854224 = 89001^2 + 346332^2 .

It is not a de Polignac number, because 127867032225 - 2²³ = 127858643617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166276641 + ... + 166277409.

Almost surely, 2^127867032225 is an apocalyptic number.

127867032225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127867032225 is the 357585-th square number.

127867032225 is the 178793-rd centered octagonal number.

It is an amenable number.

127867032225 is a deficient number, since it is larger than the sum of its proper divisors (109091359224).

127867032225 is an frugal number, since it uses more digits than its factorization.

127867032225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 127867032225 in words is "one hundred twenty-seven billion, eight hundred sixty-seven million, thirty-two thousand, two hundred twenty-five".