127577025 has 45 divisors (see below), whose sum is σ = 237262003. Its totient is φ = 67770000.

The previous prime is 127577011. The next prime is 127577029. The reversal of 127577025 is 520775721.

The square root of 127577025 is 11295.

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., 45927729 + 81649296 = 6777^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 127577025 - 2⁹ = 127576513 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127577029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 508150 + ... + 508400.

Almost surely, 2^127577025 is an apocalyptic number.

127577025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127577025 is the 11295-th square number.

127577025 is the 5648-th centered octagonal number.

It is an amenable number.

127577025 is a deficient number, since it is larger than the sum of its proper divisors (109684978).

127577025 is an frugal number, since it uses more digits than its factorization.

127577025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The cubic root of 127577025 is about 503.4126874676.

Multiplying 127577025 by its sum of digits (36), we get a square (4592772900 = 67770²).

The spelling of 127577025 in words is "one hundred twenty-seven million, five hundred seventy-seven thousand, twenty-five".