127025725583761 has 9 divisors (see below), whose sum is σ = 128272130707689. Its totient is φ = 125791316514036.

The previous prime is 127025725583749. The next prime is 127025725583791. The reversal of 127025725583761 is 167385527520721.

The square root of 127025725583761 is 11270569.

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

It is not a de Polignac number, because 127025725583761 - 2¹⁹ = 127025725059473 is a prime.

It is a super-2 number, since 2×127025725583761² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127025725583761.

It is not an unprimeable number, because it can be changed into a prime (127025725583791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1160813896 + ... + 1160923318.

It is an arithmetic number, because the mean of its divisors is an integer number (14252458967521).

Almost surely, 2^{127025725583761} is an apocalyptic number.

127025725583761 is the 11270569-th square number.

127025725583761 is the 5635285-th centered octagonal number.

It is an amenable number.

127025725583761 is a deficient number, since it is larger than the sum of its proper divisors (1246405123928).

127025725583761 is an frugal number, since it uses more digits than its factorization.

127025725583761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219052 (or 109526 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 61.

The spelling of 127025725583761 in words is "one hundred twenty-seven trillion, twenty-five billion, seven hundred twenty-five million, five hundred eighty-three thousand, seven hundred sixty-one".