506929760100 has 297 divisors, whose sum is σ = 1655697834763. Its totient is φ = 134719899840.

The previous prime is 506929760081. The next prime is 506929760111. The reversal of 506929760100 is 1067929605.

It is a happy number.

The square root of 506929760100 is 711990.

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 80280422244 + 426649337856 = 283338^2 + 653184^2 .

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 polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1730135554 + ... + 1730135846.

Almost surely, 2^506929760100 is an apocalyptic number.

506929760100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506929760100 is the 711990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506929760100

506929760100 is an abundant number, since it is smaller than the sum of its proper divisors (1148768074663).

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

506929760100 is an frugal number, since it uses more digits than its factorization.

506929760100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 506929760100 in words is "five hundred six billion, nine hundred twenty-nine million, seven hundred sixty thousand, one hundred".