5211450000 has 360 divisors, whose sum is σ = 18782375976. Its totient is φ = 1347840000.

The previous prime is 5211449987. The next prime is 5211450019. The reversal of 5211450000 is 541125.

5211450000 is a `hidden beast` number, since 5 + 211 + 450 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5171911056 + 39538944 = 71916^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5211450000² = 54318422205000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 16649844 + ... + 16650156.

Almost surely, 2^5211450000 is an apocalyptic number.

5211450000 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 5211450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391187988).

5211450000 is an abundant number, since it is smaller than the sum of its proper divisors (13570925976).

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

5211450000 is a wasteful number, since it uses less digits than its factorization.

5211450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5211450000 is about 72190.3733194392. The cubic root of 5211450000 is about 1733.7488730882.

Adding to 5211450000 its reverse (541125), we get a palindrome (5211991125).

The spelling of 5211450000 in words is "five billion, two hundred eleven million, four hundred fifty thousand".