7875251000 has 64 divisors (see below), whose sum is σ = 18500395680. Its totient is φ = 3137740800.

The previous prime is 7875250939. The next prime is 7875251009. The reversal of 7875251000 is 1525787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7875251009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241679 + ... + 272321.

Almost surely, 2^7875251000 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 7875251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250197840).

7875251000 is an abundant number, since it is smaller than the sum of its proper divisors (10625144680).

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

7875251000 is a wasteful number, since it uses less digits than its factorization.

7875251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30921 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 7875251000 is about 88742.6109600118. The cubic root of 7875251000 is about 1989.5497411492.

Adding to 7875251000 its reverse (1525787), we get a palindrome (7876776787).

The spelling of 7875251000 in words is "seven billion, eight hundred seventy-five million, two hundred fifty-one thousand".