506525605 has 16 divisors (see below), whose sum is σ = 617148144. Its totient is φ = 399052800.

The previous prime is 506525599. The next prime is 506525633.

It is a happy number.

506525605 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2163841 + 504361764 = 1471^2 + 22458^2 .

It is not a de Polignac number, because 506525605 - 2⁷ = 506525477 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 94867 + ... + 100063.

It is an arithmetic number, because the mean of its divisors is an integer number (38571759).

Almost surely, 2^506525605 is an apocalyptic number.

It is an amenable number.

506525605 is a deficient number, since it is larger than the sum of its proper divisors (110622539).

506525605 is a wasteful number, since it uses less digits than its factorization.

506525605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 506525605 is about 22506.1237222228. The cubic root of 506525605 is about 797.1385297925.

The spelling of 506525605 in words is "five hundred six million, five hundred twenty-five thousand, six hundred five".