510233125253013 has 64 divisors (see below), whose sum is σ = 782446376448000. Its totient is φ = 328395997657728.

The previous prime is 510233125252997. The next prime is 510233125253041. The reversal of 510233125253013 is 310352521332015.

510233125253013 is a `hidden beast` number, since 5 + 10 + 2 + 3 + 312 + 5 + 25 + 301 + 3 = 666.

It is not a de Polignac number, because 510233125253013 - 2⁴ = 510233125252997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510233125253083) 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, 292895908 + ... + 294632786.

It is an arithmetic number, because the mean of its divisors is an integer number (12225724632000).

Almost surely, 2^{510233125253013} is an apocalyptic number.

It is an amenable number.

510233125253013 is a deficient number, since it is larger than the sum of its proper divisors (272213251194987).

510233125253013 is a wasteful number, since it uses less digits than its factorization.

510233125253013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739863 (or 1739857 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 510233125253013 its reverse (310352521332015), we get a palindrome (820585646585028).

The spelling of 510233125253013 in words is "five hundred ten trillion, two hundred thirty-three billion, one hundred twenty-five million, two hundred fifty-three thousand, thirteen".