510252353042013 has 12 divisors (see below), whose sum is σ = 780385951711548. Its totient is φ = 320158339163520.

The previous prime is 510252353042011. The next prime is 510252353042059. The reversal of 510252353042013 is 310240353252015.

510252353042013 is a `hidden beast` number, since 5 + 1 + 0 + 252 + 353 + 0 + 42 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 340583961476889 + 169668391565124 = 18454917^2 + 13025682^2 .

It is not a de Polignac number, because 510252353042013 - 2¹ = 510252353042011 is a prime.

It is a super-2 number, since 2×510252353042013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510252353042011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667491349658 + ... + 1667491349963.

It is an arithmetic number, because the mean of its divisors is an integer number (65032162642629).

Almost surely, 2^{510252353042013} is an apocalyptic number.

It is an amenable number.

510252353042013 is a deficient number, since it is larger than the sum of its proper divisors (270133598669535).

510252353042013 is a wasteful number, since it uses less digits than its factorization.

510252353042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334982699644 (or 3334982699641 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 510252353042013 in words is "five hundred ten trillion, two hundred fifty-two billion, three hundred fifty-three million, forty-two thousand, thirteen".