5125335600 has 240 divisors, whose sum is σ = 20469761280. Its totient is φ = 1064985600.

The previous prime is 5125335587. The next prime is 5125335613. The reversal of 5125335600 is 65335215.

It is an interprime number because it is at equal distance from previous prime (5125335587) and next prime (5125335613).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64666 + ... + 120134.

It is an arithmetic number, because the mean of its divisors is an integer number (85290672).

Almost surely, 2^5125335600 is an apocalyptic number.

5125335600 is a gapful number since it is divisible by the number (50) 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 5125335600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234880640).

5125335600 is an abundant number, since it is smaller than the sum of its proper divisors (15344425680).

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

5125335600 is a wasteful number, since it uses less digits than its factorization.

5125335600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55508 (or 55497 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 5125335600 is about 71591.4492100837. The cubic root of 5125335600 is about 1724.1462525962.

It can be divided in two parts, 5125 and 335600, that added together give a triangular number (340725 = T₈₂₅).

The spelling of 5125335600 in words is "five billion, one hundred twenty-five million, three hundred thirty-five thousand, six hundred".