506225652545313 has 64 divisors (see below), whose sum is σ = 828714397593600. Its totient is φ = 303781463251200.

The previous prime is 506225652545303. The next prime is 506225652545323. The reversal of 506225652545313 is 313545256522605.

506225652545313 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 2 + 5 + 6 + 52 + 54 + 531 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (506225652545303) and next prime (506225652545323).

It is not a de Polignac number, because 506225652545313 - 2⁴ = 506225652545297 is a prime.

It is a super-2 number, since 2×506225652545313² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506225652545313.

It is not an unprimeable number, because it can be changed into a prime (506225652545303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76628538 + ... + 82972188.

It is an arithmetic number, because the mean of its divisors is an integer number (12948662462400).

Almost surely, 2^{506225652545313} is an apocalyptic number.

It is an amenable number.

506225652545313 is a deficient number, since it is larger than the sum of its proper divisors (322488745048287).

506225652545313 is a wasteful number, since it uses less digits than its factorization.

506225652545313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351259 (or 6351253 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 506225652545313 in words is "five hundred six trillion, two hundred twenty-five billion, six hundred fifty-two million, five hundred forty-five thousand, three hundred thirteen".