506625210 has 144 divisors (see below), whose sum is σ = 1650337416. Its totient is φ = 106880256.

The previous prime is 506625199. The next prime is 506625221. The reversal of 506625210 is 12526605.

It is an interprime number because it is at equal distance from previous prime (506625199) and next prime (506625221).

It can be written as a sum of positive squares in 4 ways, for example, as 468765801 + 37859409 = 21651^2 + 6153^2 .

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 52912 + ... + 61748.

Almost surely, 2^506625210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506625210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825168708).

506625210 is an abundant number, since it is smaller than the sum of its proper divisors (1143712206).

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

506625210 is a wasteful number, since it uses less digits than its factorization.

506625210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506625210 is about 22508.3364556335. The cubic root of 506625210 is about 797.1907770883.

It can be divided in two parts, 5066 and 25210, that added together give a square (30276 = 174²).

The spelling of 506625210 in words is "five hundred six million, six hundred twenty-five thousand, two hundred ten".