5133022200400 has 60 divisors (see below), whose sum is σ = 12348910669852. Its totient is φ = 2050407659520.

The previous prime is 5133022200377. The next prime is 5133022200403. The reversal of 5133022200400 is 40022203315.

It can be written as a sum of positive squares in 6 ways, for example, as 179833668624 + 4953188531776 = 424068^2 + 2225576^2 .

It is a super-3 number, since 3×5133022200400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133022200403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8460249 + ... + 9046648.

Almost surely, 2^{5133022200400} is an apocalyptic number.

5133022200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5133022200400 is an abundant number, since it is smaller than the sum of its proper divisors (7215888469452).

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

5133022200400 is a wasteful number, since it uses less digits than its factorization.

5133022200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507648 (or 17507637 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 5133022200400 its reverse (40022203315), we get a palindrome (5173044403715).

The spelling of 5133022200400 in words is "five trillion, one hundred thirty-three billion, twenty-two million, two hundred thousand, four hundred".