506520100 has 36 divisors (see below), whose sum is σ = 1163808324. Its totient is φ = 190689280.

The previous prime is 506520097. The next prime is 506520139. The reversal of 506520100 is 1025605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 506520036 = 8^2 + 22506^2 .

It is a super-2 number, since 2×506520100² = 513125223408020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147277 + ... + 150676.

It is an arithmetic number, because the mean of its divisors is an integer number (32328009).

Almost surely, 2^506520100 is an apocalyptic number.

506520100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506520100 is an abundant number, since it is smaller than the sum of its proper divisors (657288224).

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

506520100 is a wasteful number, since it uses less digits than its factorization.

506520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297984 (or 297977 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 506520100 is about 22506.0014218430. The cubic root of 506520100 is about 797.1356419730.

Adding to 506520100 its reverse (1025605), we get a palindrome (507545705).

The spelling of 506520100 in words is "five hundred six million, five hundred twenty thousand, one hundred".