5000211000 has 448 divisors, whose sum is σ = 18517168800. Its totient is φ = 1263211200.

The previous prime is 5000210977. The next prime is 5000211089. The reversal of 5000211000 is 1120005.

It is a happy number.

The cubic root of 5000211000 is 1710.

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

It is a super-2 number, since 2×5000211000² = 50004220089042000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 263168991 + ... + 263169009.

Almost surely, 2^5000211000 is an apocalyptic number.

5000211000 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 5000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258584400).

5000211000 is an abundant number, since it is smaller than the sum of its proper divisors (13516957800).

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

5000211000 is an frugal number, since it uses more digits than its factorization.

5000211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5000211000 is about 70712.1700982228.

Adding to 5000211000 its reverse (1120005), we get a palindrome (5001331005).

It can be divided in two parts, 5000 and 211000, that added together give a cube (216000 = 60³).

The spelling of 5000211000 in words is "five billion, two hundred eleven thousand".