5254593444100 has 729 divisors, whose sum is σ = 15856556672061. Its totient is φ = 1505209305600.

The previous prime is 5254593444083. The next prime is 5254593444127. The reversal of 5254593444100 is 14443954525.

The square root of 5254593444100 is 2292290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2691443675844 + 2563149768256 = 1640562^2 + 1600984^2 .

It is a super-3 number, since 3×5254593444100³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22945822786 + ... + 22945823014.

Almost surely, 2^{5254593444100} is an apocalyptic number.

5254593444100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5254593444100 is the 2292290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5254593444100

5254593444100 is an abundant number, since it is smaller than the sum of its proper divisors (10601963227961).

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

5254593444100 is a wasteful number, since it uses less digits than its factorization.

5254593444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 5254593444100 in words is "five trillion, two hundred fifty-four billion, five hundred ninety-three million, four hundred forty-four thousand, one hundred".