8190250000 has 105 divisors (see below), whose sum is σ = 19945701723. Its totient is φ = 3258000000.

The previous prime is 8190249967. The next prime is 8190250037. The reversal of 8190250000 is 520918.

The square root of 8190250000 is 90500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1646087184 + 6544162816 = 40572^2 + 80896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45249910 + ... + 45250090.

Almost surely, 2^8190250000 is an apocalyptic number.

8190250000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8190250000 is the 90500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190250000

8190250000 is an abundant number, since it is smaller than the sum of its proper divisors (11755451723).

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

8190250000 is an frugal number, since it uses more digits than its factorization.

8190250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 8190250000 is about 2015.7301239165.

Multiplying 8190250000 by its sum of digits (25), we get a square (204756250000 = 452500²).

8190250000 divided by its sum of digits (25) gives a square (327610000 = 18100²).

Adding to 8190250000 its reverse (520918), we get a palindrome (8190770918).

It can be divided in two parts, 81 and 90250000, that multiplied together give a square (7310250000 = 85500²).

The spelling of 8190250000 in words is "eight billion, one hundred ninety million, two hundred fifty thousand".