127266995025 has 81 divisors (see below), whose sum is σ = 242320074321. Its totient is φ = 63837377280.

The previous prime is 127266995003. The next prime is 127266995027. The reversal of 127266995025 is 520599662721.

The square root of 127266995025 is 356745.

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

127266995025 is a `hidden beast` number, since 1 + 2 + 72 + 6 + 69 + 9 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2976902721 + 124290092304 = 54561^2 + 352548^2 .

It is not a de Polignac number, because 127266995025 - 2¹⁵ = 127266962257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127266995027) 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 80 ways as a sum of consecutive naturals, for example, 90969276 + ... + 90970674.

Almost surely, 2^127266995025 is an apocalyptic number.

127266995025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127266995025 is the 356745-th square number.

127266995025 is the 178373-rd centered octagonal number.

It is an amenable number.

127266995025 is a deficient number, since it is larger than the sum of its proper divisors (115053079296).

127266995025 is an equidigital number, since it uses as much as digits as its factorization.

127266995025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 127266995025 in words is "one hundred twenty-seven billion, two hundred sixty-six million, nine hundred ninety-five thousand, twenty-five".