127512005825 has 24 divisors (see below), whose sum is σ = 167612506488. Its totient is φ = 95896212480.

The previous prime is 127512005821. The next prime is 127512005837. The reversal of 127512005825 is 528500215721.

It can be written as a sum of positive squares in 12 ways, for example, as 85161246976 + 42350758849 = 291824^2 + 205793^2 .

It is not a de Polignac number, because 127512005825 - 2² = 127512005821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127512005821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186659 + ... + 538391.

It is an arithmetic number, because the mean of its divisors is an integer number (6983854437).

Almost surely, 2^127512005825 is an apocalyptic number.

It is an amenable number.

127512005825 is a deficient number, since it is larger than the sum of its proper divisors (40100500663).

127512005825 is a wasteful number, since it uses less digits than its factorization.

127512005825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352613 (or 352608 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The spelling of 127512005825 in words is "one hundred twenty-seven billion, five hundred twelve million, five thousand, eight hundred twenty-five".