5127126516 has 72 divisors (see below), whose sum is σ = 13652402400. Its totient is φ = 1617900480.

The previous prime is 5127126503. The next prime is 5127126517. The reversal of 5127126516 is 6156217215.

5127126516 is a `hidden beast` number, since 5 + 12 + 7 + 126 + 516 = 666.

It is a super-2 number, since 2×5127126516² = 52574852622140596512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127126517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1647570 + ... + 1650678.

It is an arithmetic number, because the mean of its divisors is an integer number (189616700).

Almost surely, 2^5127126516 is an apocalyptic number.

It is an amenable number.

5127126516 is an abundant number, since it is smaller than the sum of its proper divisors (8525275884).

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

5127126516 is a wasteful number, since it uses less digits than its factorization.

5127126516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5544 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 5127126516 is about 71603.9560080307. The cubic root of 5127126516 is about 1724.3470486526.

The spelling of 5127126516 in words is "five billion, one hundred twenty-seven million, one hundred twenty-six thousand, five hundred sixteen".