6252498000 has 960 divisors, whose sum is σ = 27785721600. Its totient is φ = 1335398400.

The previous prime is 6252497971. The next prime is 6252498019. The reversal of 6252498000 is 8942526.

It is a happy number.

6252498000 is a `hidden beast` number, since 625 + 24 + 9 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×6252498000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44981931 + ... + 44982069.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^6252498000 is an apocalyptic number.

6252498000 is a gapful number since it is divisible by the number (60) 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 6252498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

6252498000 is an abundant number, since it is smaller than the sum of its proper divisors (21533223600).

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

6252498000 is a wasteful number, since it uses less digits than its factorization.

6252498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6252498000 is about 79072.7386651051. The cubic root of 6252498000 is about 1842.2611222511.

The spelling of 6252498000 in words is "six billion, two hundred fifty-two million, four hundred ninety-eight thousand".