6251261250 has 320 divisors, whose sum is σ = 18799482240. Its totient is φ = 1368576000.

The previous prime is 6251261209. The next prime is 6251261251. The reversal of 6251261250 is 521621526.

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

It is not an unprimeable number, because it can be changed into a prime (6251261251) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15746052 + ... + 15746448.

It is an arithmetic number, because the mean of its divisors is an integer number (58748382).

Almost surely, 2^6251261250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6251261250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399741120).

6251261250 is an abundant number, since it is smaller than the sum of its proper divisors (12548220990).

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

6251261250 is a wasteful number, since it uses less digits than its factorization.

6251261250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6251261250 is about 79064.9179472160. The cubic root of 6251261250 is about 1842.1396472458.

Adding to 6251261250 its reverse (521621526), we get a palindrome (6772882776).

The spelling of 6251261250 in words is "six billion, two hundred fifty-one million, two hundred sixty-one thousand, two hundred fifty".