5126825320 has 192 divisors, whose sum is σ = 13020361200. Its totient is φ = 1813217280.

The previous prime is 5126825287. The next prime is 5126825323. The reversal of 5126825320 is 235286215.

It can be written as a sum of positive squares in 24 ways, for example, as 2842596 + 5123982724 = 1686^2 + 71582^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5126825323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13744654 + ... + 13745026.

Almost surely, 2^5126825320 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 5126825320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510180600).

5126825320 is an abundant number, since it is smaller than the sum of its proper divisors (7893535880).

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

5126825320 is a wasteful number, since it uses less digits than its factorization.

5126825320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5126825320 is about 71601.8527693243. The cubic root of 5126825320 is about 1724.3132820712.

The spelling of 5126825320 in words is "five billion, one hundred twenty-six million, eight hundred twenty-five thousand, three hundred twenty".