127013530600 has 72 divisors (see below), whose sum is σ = 324593111430. Its totient is φ = 46186729600.

The previous prime is 127013530547. The next prime is 127013530697. The reversal of 127013530600 is 6035310721.

It can be written as a sum of positive squares in 3 ways, for example, as 69730852356 + 57282678244 = 264066^2 + 239338^2 .

It is a super-2 number, since 2×127013530600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2600047 + ... + 2648446.

Almost surely, 2^127013530600 is an apocalyptic number.

127013530600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127013530600 is an abundant number, since it is smaller than the sum of its proper divisors (197579580830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127013530600 is a wasteful number, since it uses less digits than its factorization.

127013530600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248531 (or 5248511 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 127013530600 in words is "one hundred twenty-seven billion, thirteen million, five hundred thirty thousand, six hundred".