6253258752 has 192 divisors, whose sum is σ = 19950840000. Its totient is φ = 1923858432.

The previous prime is 6253258727. The next prime is 6253258793. The reversal of 6253258752 is 2578523526.

6253258752 is a `hidden beast` number, since 62 + 5 + 3 + 2 + 587 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 6253258698 and 6253258707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714499 + ... + 723197.

It is an arithmetic number, because the mean of its divisors is an integer number (103910625).

Almost surely, 2^6253258752 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 6253258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975420000).

6253258752 is an abundant number, since it is smaller than the sum of its proper divisors (13697581248).

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

6253258752 is a wasteful number, since it uses less digits than its factorization.

6253258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8717 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 6253258752 is about 79077.5489756732. The cubic root of 6253258752 is about 1842.3358362292.

The spelling of 6253258752 in words is "six billion, two hundred fifty-three million, two hundred fifty-eight thousand, seven hundred fifty-two".