506144315 has 16 divisors (see below), whose sum is σ = 645327648. Its totient is φ = 379777536.

The previous prime is 506144311. The next prime is 506144321. The reversal of 506144315 is 513441605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506144315 - 2² = 506144311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506144311) 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, 14744 + ... + 35066.

It is an arithmetic number, because the mean of its divisors is an integer number (40332978).

Almost surely, 2^506144315 is an apocalyptic number.

506144315 is a deficient number, since it is larger than the sum of its proper divisors (139183333).

506144315 is a wasteful number, since it uses less digits than its factorization.

506144315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20638.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 506144315 is about 22497.6513218602. The cubic root of 506144315 is about 796.9384627453.

The spelling of 506144315 in words is "five hundred six million, one hundred forty-four thousand, three hundred fifteen".