505606254776100 has 405 divisors, whose sum is σ = 1645621659427977. Its totient is φ = 134283821137920.

The previous prime is 505606254776033. The next prime is 505606254776101. The reversal of 505606254776100 is 1677452606505.

It is a happy number.

The square root of 505606254776100 is 22485690.

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

505606254776100 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 0 + 62 + 5 + 477 + 6 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 194535713131236 + 311070541644864 = 13947606^2 + 17637192^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×505606254776100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (505606254776101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 876267339012 + ... + 876267339588.

Almost surely, 2^{505606254776100} is an apocalyptic number.

505606254776100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505606254776100 is the 22485690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505606254776100

505606254776100 is an abundant number, since it is smaller than the sum of its proper divisors (1140015404651877).

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

505606254776100 is an frugal number, since it uses more digits than its factorization.

505606254776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 505606254776100 in words is "five hundred five trillion, six hundred six billion, two hundred fifty-four million, seven hundred seventy-six thousand, one hundred".