127566540725 has 24 divisors (see below), whose sum is σ = 170556245160. Its totient is φ = 94089150720.

The previous prime is 127566540581. The next prime is 127566540749. The reversal of 127566540725 is 527045665721.

127566540725 = 252553² + 252554².

It can be written as a sum of positive squares in 12 ways, for example, as 98072943556 + 29493597169 = 313166^2 + 171737^2 .

It is not a de Polignac number, because 127566540725 - 2¹⁴ = 127566524341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32687 + ... + 506163.

It is an arithmetic number, because the mean of its divisors is an integer number (7106510215).

Almost surely, 2^127566540725 is an apocalyptic number.

127566540725 is the 252554-th centered square number.

It is an amenable number.

127566540725 is a deficient number, since it is larger than the sum of its proper divisors (42989704435).

127566540725 is a wasteful number, since it uses less digits than its factorization.

127566540725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474329 (or 474324 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 127566540725 in words is "one hundred twenty-seven billion, five hundred sixty-six million, five hundred forty thousand, seven hundred twenty-five".