513242210111125 has 64 divisors (see below), whose sum is σ = 699112615518720. Its totient is φ = 373076582400000.

The previous prime is 513242210111123. The next prime is 513242210111167. The reversal of 513242210111125 is 521111012242315.

It is a happy number.

It is not a de Polignac number, because 513242210111125 - 2¹ = 513242210111123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513242210111123) 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, 33412023445 + ... + 33412038805.

It is an arithmetic number, because the mean of its divisors is an integer number (10923634617480).

Almost surely, 2^{513242210111125} is an apocalyptic number.

513242210111125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513242210111125 is a deficient number, since it is larger than the sum of its proper divisors (185870405407595).

513242210111125 is a wasteful number, since it uses less digits than its factorization.

513242210111125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26207 (or 26197 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 513242210111125 in words is "five hundred thirteen trillion, two hundred forty-two billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-five".