7251116000 has 96 divisors (see below), whose sum is σ = 17980522560. Its totient is φ = 2873664000.

The previous prime is 7251115997. The next prime is 7251116003. The reversal of 7251116000 is 6111527.

It is an interprime number because it is at equal distance from previous prime (7251115997) and next prime (7251116003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251116003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427685 + ... + 444315.

It is an arithmetic number, because the mean of its divisors is an integer number (187297110).

Almost surely, 2^7251116000 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 7251116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990261280).

7251116000 is an abundant number, since it is smaller than the sum of its proper divisors (10729406560).

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

7251116000 is a wasteful number, since it uses less digits than its factorization.

7251116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 7251116000 is about 85153.4849551091. The cubic root of 7251116000 is about 1935.5376232264.

Adding to 7251116000 its reverse (6111527), we get a palindrome (7257227527).

The spelling of 7251116000 in words is "seven billion, two hundred fifty-one million, one hundred sixteen thousand".