5221252110400 has 42 divisors (see below), whose sum is σ = 12847543478090. Its totient is φ = 2088500843520.

The previous prime is 5221252110313. The next prime is 5221252110419. The reversal of 5221252110400 is 40112521225.

It can be written as a sum of positive squares in 3 ways, for example, as 3901751296 + 5217350359104 = 62464^2 + 2284152^2 .

It is a super-2 number, since 2×5221252110400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 1631639685 + ... + 1631642884.

Almost surely, 2^{5221252110400} is an apocalyptic number.

5221252110400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5221252110400 is an abundant number, since it is smaller than the sum of its proper divisors (7626291367690).

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

5221252110400 is a wasteful number, since it uses less digits than its factorization.

5221252110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263282591 (or 3263282576 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 5221252110400 its reverse (40112521225), we get a palindrome (5261364631625).

The spelling of 5221252110400 in words is "five trillion, two hundred twenty-one billion, two hundred fifty-two million, one hundred ten thousand, four hundred".