506271249 has 64 divisors (see below), whose sum is σ = 839808000. Its totient is φ = 298869120.

The previous prime is 506271247. The next prime is 506271257. The reversal of 506271249 is 942172605.

506271249 is a `hidden beast` number, since 5 + 0 + 627 + 1 + 24 + 9 = 666.

It is not a de Polignac number, because 506271249 - 2¹ = 506271247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506271247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2828242 + ... + 2828420.

It is an arithmetic number, because the mean of its divisors is an integer number (13122000).

Almost surely, 2^506271249 is an apocalyptic number.

It is an amenable number.

506271249 is a deficient number, since it is larger than the sum of its proper divisors (333536751).

506271249 is a wasteful number, since it uses less digits than its factorization.

506271249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 506271249 is about 22500.4721950452. The cubic root of 506271249 is about 797.0050775615.

The spelling of 506271249 in words is "five hundred six million, two hundred seventy-one thousand, two hundred forty-nine".