506673476100 has 405 divisors, whose sum is σ = 1807835752261. Its totient is φ = 122659099200.

The previous prime is 506673476093. The next prime is 506673476107. The reversal of 506673476100 is 1674376605.

The square root of 506673476100 is 711810.

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

506673476100 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 73 + 476 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (506673476093) and next prime (506673476107).

It can be written as a sum of positive squares in only one way, i.e., 182402451396 + 324271024704 = 427086^2 + 569448^2 .

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

It is a super-2 number, since 2×506673476100² (a number of 24 digits) contains 22 as substring.

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 (506673476107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 704691541 + ... + 704692259.

Almost surely, 2^506673476100 is an apocalyptic number.

506673476100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506673476100 is the 711810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506673476100

506673476100 is an abundant number, since it is smaller than the sum of its proper divisors (1301162276161).

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

506673476100 is a wasteful number, since it uses less digits than its factorization.

506673476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 506673476100 in words is "five hundred six billion, six hundred seventy-three million, four hundred seventy-six thousand, one hundred".