6251252616 has 288 divisors, whose sum is σ = 21063369600. Its totient is φ = 1665861120.

The previous prime is 6251252603. The next prime is 6251252647. The reversal of 6251252616 is 6162521526.

6251252616 is a `hidden beast` number, since 6 + 25 + 12 + 5 + 2 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3325965 + ... + 3327843.

It is an arithmetic number, because the mean of its divisors is an integer number (73136700).

Almost surely, 2^6251252616 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 6251252616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531684800).

6251252616 is an abundant number, since it is smaller than the sum of its proper divisors (14812116984).

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

6251252616 is a wasteful number, since it uses less digits than its factorization.

6251252616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1955 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 6251252616 is about 79064.8633464955. The cubic root of 6251252616 is about 1842.1387991481.

The spelling of 6251252616 in words is "six billion, two hundred fifty-one million, two hundred fifty-two thousand, six hundred sixteen".