517838552100 has 405 divisors, whose sum is σ = 1745609391253. Its totient is φ = 128401451520.

The previous prime is 517838552093. The next prime is 517838552137. The reversal of 517838552100 is 1255838715.

The square root of 517838552100 is 719610.

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

517838552100 is a `hidden beast` number, since 5 + 1 + 7 + 83 + 8 + 552 + 10 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 56428102116 + 461410449984 = 237546^2 + 679272^2 .

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

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 6239018659 + ... + 6239018741.

Almost surely, 2^517838552100 is an apocalyptic number.

517838552100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

517838552100 is the 719610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517838552100

517838552100 is an abundant number, since it is smaller than the sum of its proper divisors (1227770839153).

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

517838552100 is an equidigital number, since it uses as much as digits as its factorization.

517838552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 517838552100 in words is "five hundred seventeen billion, eight hundred thirty-eight million, five hundred fifty-two thousand, one hundred".