506641275 has 72 divisors (see below), whose sum is σ = 1041790464. Its totient is φ = 230558400.

The previous prime is 506641271. The next prime is 506641283. The reversal of 506641275 is 572146605.

It is a happy number.

506641275 is a `hidden beast` number, since 5 + 0 + 6 + 641 + 2 + 7 + 5 = 666.

It is not a de Polignac number, because 506641275 - 2² = 506641271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506641271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 426232 + ... + 427418.

It is an arithmetic number, because the mean of its divisors is an integer number (14469312).

Almost surely, 2^506641275 is an apocalyptic number.

506641275 is an abundant number, since it is smaller than the sum of its proper divisors (535149189).

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

506641275 is a wasteful number, since it uses less digits than its factorization.

506641275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 506641275 is about 22508.6933205817. The cubic root of 506641275 is about 797.1992032610.

The spelling of 506641275 in words is "five hundred six million, six hundred forty-one thousand, two hundred seventy-five".