506409251 has 8 divisors (see below), whose sum is σ = 515172384. Its totient is φ = 497661120.

The previous prime is 506409247. The next prime is 506409271. The reversal of 506409251 is 152904605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506409251 - 2² = 506409247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506409271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80351 + ... + 86423.

It is an arithmetic number, because the mean of its divisors is an integer number (64396548).

Almost surely, 2^506409251 is an apocalyptic number.

506409251 is a deficient number, since it is larger than the sum of its proper divisors (8763133).

506409251 is a wasteful number, since it uses less digits than its factorization.

506409251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 506409251 is about 22503.5386328462. The cubic root of 506409251 is about 797.0774882193.

The spelling of 506409251 in words is "five hundred six million, four hundred nine thousand, two hundred fifty-one".