506528607 has 16 divisors (see below), whose sum is σ = 729243648. Its totient is φ = 310886880.

The previous prime is 506528597. The next prime is 506528639. The reversal of 506528607 is 706825605.

It is a happy number.

It is not a de Polignac number, because 506528607 - 2⁴ = 506528591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506528207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 31892.

It is an arithmetic number, because the mean of its divisors is an integer number (45577728).

Almost surely, 2^506528607 is an apocalyptic number.

506528607 is a deficient number, since it is larger than the sum of its proper divisors (222715041).

506528607 is a wasteful number, since it uses less digits than its factorization.

506528607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 506528607 is about 22506.1904150836. The cubic root of 506528607 is about 797.1401045764.

The spelling of 506528607 in words is "five hundred six million, five hundred twenty-eight thousand, six hundred seven".