5226207488100 has 189 divisors, whose sum is σ = 17005535447817. Its totient is φ = 1393490731680.

The previous prime is 5226207488083. The next prime is 5226207488143. The reversal of 5226207488100 is 18847026225.

The square root of 5226207488100 is 2286090.

It is a perfect power (a square), and thus also a powerful number.

5226207488100 is a `hidden beast` number, since 5 + 2 + 2 + 62 + 0 + 7 + 488 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1881434695716 + 3344772792384 = 1371654^2 + 1828872^2 .

It is a super-2 number, since 2×5226207488100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 617240067 + ... + 617248533.

Almost surely, 2^{5226207488100} is an apocalyptic number.

5226207488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5226207488100 is the 2286090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5226207488100

5226207488100 is an abundant number, since it is smaller than the sum of its proper divisors (11779327959717).

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

5226207488100 is an frugal number, since it uses more digits than its factorization.

5226207488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5226207488100 in words is "five trillion, two hundred twenty-six billion, two hundred seven million, four hundred eighty-eight thousand, one hundred".