5212584400 has 30 divisors (see below), whose sum is σ = 12523234982. Its totient is φ = 2085033600.

The previous prime is 5212584341. The next prime is 5212584407. The reversal of 5212584400 is 44852125.

It can be written as a sum of positive squares in 3 ways, for example, as 169312144 + 5043272256 = 13012^2 + 71016^2 .

It is a super-2 number, since 2×5212584400² = 54342072254246720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212584407) 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 5 ways as a sum of consecutive naturals, for example, 6515331 + ... + 6516130.

Almost surely, 2^5212584400 is an apocalyptic number.

5212584400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5212584400 is an abundant number, since it is smaller than the sum of its proper divisors (7310650582).

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

5212584400 is a wasteful number, since it uses less digits than its factorization.

5212584400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031479 (or 13031468 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 5212584400 is about 72198.2298951990. The cubic root of 5212584400 is about 1733.8746616265.

The spelling of 5212584400 in words is "five billion, two hundred twelve million, five hundred eighty-four thousand, four hundred".