127300827528261 has 12 divisors (see below), whose sum is σ = 193556813785920. Its totient is φ = 80400522649320.

The previous prime is 127300827528241. The next prime is 127300827528271. The reversal of 127300827528261 is 162825728003721.

127300827528261 is a `hidden beast` number, since 1 + 2 + 7 + 30 + 0 + 8 + 27 + 528 + 2 + 61 = 666.

127300827528261 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 127300827528261 - 2²⁷ = 127300693310533 is a prime.

It is a super-3 number, since 3×127300827528261³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127300827528198 and 127300827528207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127300827528221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372224641725 + ... + 372224642066.

It is an arithmetic number, because the mean of its divisors is an integer number (16129734482160).

Almost surely, 2^{127300827528261} is an apocalyptic number.

It is an amenable number.

127300827528261 is a deficient number, since it is larger than the sum of its proper divisors (66255986257659).

127300827528261 is a wasteful number, since it uses less digits than its factorization.

127300827528261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744449283816 (or 744449283813 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 127300827528261 in words is "one hundred twenty-seven trillion, three hundred billion, eight hundred twenty-seven million, five hundred twenty-eight thousand, two hundred sixty-one".