506353256 has 64 divisors (see below), whose sum is σ = 1005696000. Its totient is φ = 238694400.

The previous prime is 506353241. The next prime is 506353271. The reversal of 506353256 is 652353605.

It is an interprime number because it is at equal distance from previous prime (506353241) and next prime (506353271).

It is a super-3 number, since 3×506353256³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623496 + ... + 2623688.

It is an arithmetic number, because the mean of its divisors is an integer number (15714000).

Almost surely, 2^506353256 is an apocalyptic number.

It is an amenable number.

506353256 is a deficient number, since it is larger than the sum of its proper divisors (499342744).

506353256 is a wasteful number, since it uses less digits than its factorization.

506353256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The square root of 506353256 is about 22502.2944607878. The cubic root of 506353256 is about 797.0481088198.

The spelling of 506353256 in words is "five hundred six million, three hundred fifty-three thousand, two hundred fifty-six".