5127103488 has 352 divisors, whose sum is σ = 16094332800. Its totient is φ = 1436811264.

The previous prime is 5127103477. The next prime is 5127103519. The reversal of 5127103488 is 8843017215.

It is a super-3 number, since 3×5127103488³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22004620 + ... + 22004852.

Almost surely, 2^5127103488 is an apocalyptic number.

5127103488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047166400).

5127103488 is an abundant number, since it is smaller than the sum of its proper divisors (10967229312).

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

5127103488 is a wasteful number, since it uses less digits than its factorization.

5127103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5127103488 is about 71603.7952066788. The cubic root of 5127103488 is about 1724.3444670686.

The spelling of 5127103488 in words is "five billion, one hundred twenty-seven million, one hundred three thousand, four hundred eighty-eight".