5114259072 has 288 divisors, whose sum is σ = 16148889900. Its totient is φ = 1552711680.

The previous prime is 5114259071. The next prime is 5114259077. The reversal of 5114259072 is 2709524115.

5114259072 is a `hidden beast` number, since 51 + 14 + 2 + 590 + 7 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1766016576 + 3348242496 = 42024^2 + 57864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5114259071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21220872 + ... + 21221112.

Almost surely, 2^5114259072 is an apocalyptic number.

5114259072 is a gapful number since it is divisible by the number (52) 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 5114259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074444950).

5114259072 is an abundant number, since it is smaller than the sum of its proper divisors (11034630828).

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

5114259072 is a wasteful number, since it uses less digits than its factorization.

5114259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 368 counting only the distinct ones).

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

The square root of 5114259072 is about 71514.0480744867. The cubic root of 5114259072 is about 1722.9033207687.

The spelling of 5114259072 in words is "five billion, one hundred fourteen million, two hundred fifty-nine thousand, seventy-two".