5213212400 has 180 divisors, whose sum is σ = 14493994200. Its totient is φ = 1795622400.

The previous prime is 5213212387. The next prime is 5213212423. The reversal of 5213212400 is 42123125.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 916766 + ... + 922434.

It is an arithmetic number, because the mean of its divisors is an integer number (80522190).

Almost surely, 2^5213212400 is an apocalyptic number.

5213212400 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 5213212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246997100).

5213212400 is an abundant number, since it is smaller than the sum of its proper divisors (9280781800).

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

5213212400 is a wasteful number, since it uses less digits than its factorization.

5213212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5706 counting only the distinct ones).

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

The square root of 5213212400 is about 72202.5789013107. The cubic root of 5213212400 is about 1733.9442898875.

Adding to 5213212400 its reverse (42123125), we get a palindrome (5255335525).

The spelling of 5213212400 in words is "five billion, two hundred thirteen million, two hundred twelve thousand, four hundred".