4013225000 has 96 divisors (see below), whose sum is σ = 9459941400. Its totient is φ = 1596000000.

The previous prime is 4013224991. The next prime is 4013225009. The reversal of 4013225000 is 5223104.

It is an interprime number because it is at equal distance from previous prime (4013224991) and next prime (4013225009).

It can be written as a sum of positive squares in 12 ways, for example, as 316341796 + 3696883204 = 17786^2 + 60802^2 .

It is a super-2 number, since 2×4013225000² = 32211949801250000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013225000.

It is not an unprimeable number, because it can be changed into a prime (4013225009) 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 23 ways as a sum of consecutive naturals, for example, 5724650 + ... + 5725350.

Almost surely, 2^4013225000 is an apocalyptic number.

4013225000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729970700).

4013225000 is an abundant number, since it is smaller than the sum of its proper divisors (5446716400).

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

4013225000 is an equidigital number, since it uses as much as digits as its factorization.

4013225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4013225000 is about 63350.0197316465. The cubic root of 4013225000 is about 1589.1485757068.

Adding to 4013225000 its reverse (5223104), we get a palindrome (4018448104).

It can be divided in two parts, 40 and 13225000, that multiplied together give a square (529000000 = 23000²).

The spelling of 4013225000 in words is "four billion, thirteen million, two hundred twenty-five thousand".