5120005120 has 88 divisors (see below), whose sum is σ = 12404869128. Its totient is φ = 2027520000.

The previous prime is 5120005081. The next prime is 5120005133. The reversal of 5120005120 is 215000215.

It can be written as a sum of positive squares in 4 ways, for example, as 3175547904 + 1944457216 = 56352^2 + 44096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5120005094 and 5120005103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512170 + ... + 522070.

Almost surely, 2^5120005120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202434564).

5120005120 is an abundant number, since it is smaller than the sum of its proper divisors (7284864008).

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

5120005120 is a wasteful number, since it uses less digits than its factorization.

5120005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 5120005120 is about 71554.2110570720. The cubic root of 5120005120 is about 1723.5483265412.

Adding to 5120005120 its reverse (215000215), we get a palindrome (5335005335).

It can be divided in two parts, 512000 and 5120, that multiplied together give a square (2621440000 = 51200²).

The spelling of 5120005120 in words is "five billion, one hundred twenty million, five thousand, one hundred twenty".