127528505 has 16 divisors (see below), whose sum is σ = 166020624. Its totient is φ = 93480960.

The previous prime is 127528501. The next prime is 127528517. The reversal of 127528505 is 505825721.

It can be written as a sum of positive squares in 8 ways, for example, as 36192256 + 91336249 = 6016^2 + 9557^2 .

It is not a de Polignac number, because 127528505 - 2² = 127528501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127528501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1745 + ... + 16065.

It is an arithmetic number, because the mean of its divisors is an integer number (10376289).

Almost surely, 2^127528505 is an apocalyptic number.

It is an amenable number.

127528505 is a deficient number, since it is larger than the sum of its proper divisors (38492119).

127528505 is a wasteful number, since it uses less digits than its factorization.

127528505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476.

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 127528505 is about 11292.8519427114. The cubic root of 127528505 is about 503.3488601948.

The spelling of 127528505 in words is "one hundred twenty-seven million, five hundred twenty-eight thousand, five hundred five".