5154307496100 has 729 divisors, whose sum is σ = 19869703138467. Its totient is φ = 1114159173120.

The previous prime is 5154307496083. The next prime is 5154307496101. The reversal of 5154307496100 is 16947034515.

The square root of 5154307496100 is 2270310.

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

5154307496100 is a `hidden beast` number, since 5 + 1 + 54 + 3 + 0 + 7 + 496 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1225063794276 + 3929243701824 = 1106826^2 + 1982232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5154307496101) 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 242 ways as a sum of consecutive naturals, for example, 9058536616 + ... + 9058537184.

Almost surely, 2^{5154307496100} is an apocalyptic number.

5154307496100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5154307496100 is the 2270310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5154307496100

5154307496100 is an abundant number, since it is smaller than the sum of its proper divisors (14715395642367).

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

5154307496100 is a wasteful number, since it uses less digits than its factorization.

5154307496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5154307496100 in words is "five trillion, one hundred fifty-four billion, three hundred seven million, four hundred ninety-six thousand, one hundred".