5220461000 has 64 divisors (see below), whose sum is σ = 12235607280. Its totient is φ = 2084812800.

The previous prime is 5220460991. The next prime is 5220461011. The reversal of 5220461000 is 1640225.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 363207364 + 4857253636 = 19058^2 + 69694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 669122 + ... + 676878.

Almost surely, 2^5220461000 is an apocalyptic number.

5220461000 is a gapful number since it is divisible by the number (50) 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 5220461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117803640).

5220461000 is an abundant number, since it is smaller than the sum of its proper divisors (7015146280).

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

5220461000 is a wasteful number, since it uses less digits than its factorization.

5220461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5220461000 is about 72252.7577328367. The cubic root of 5220461000 is about 1734.7475596588.

The spelling of 5220461000 in words is "five billion, two hundred twenty million, four hundred sixty-one thousand".