517550748100 has 27 divisors (see below), whose sum is σ = 1123100734791. Its totient is φ = 207017421600.

The previous prime is 517550748047. The next prime is 517550748137. The reversal of 517550748100 is 1847055715.

The square root of 517550748100 is 719410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 122322264516 + 395228483584 = 349746^2 + 628672^2 .

It is a super-2 number, since 2×517550748100² (a number of 24 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 7158130 + ... + 7230070.

Almost surely, 2^517550748100 is an apocalyptic number.

517550748100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

517550748100 is the 719410-th square number.

It is an amenable number.

517550748100 is an abundant number, since it is smaller than the sum of its proper divisors (605549986691).

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

517550748100 is an frugal number, since it uses more digits than its factorization.

517550748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143896 (or 71948 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 43.

The spelling of 517550748100 in words is "five hundred seventeen billion, five hundred fifty million, seven hundred forty-eight thousand, one hundred".