521142241125 has 64 divisors (see below), whose sum is σ = 946794251520. Its totient is φ = 252466976000.

The previous prime is 521142241121. The next prime is 521142241231.

521142241125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521142241125 - 2² = 521142241121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521142241092 and 521142241101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521142241121) 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, 5018227 + ... + 5121023.

It is an arithmetic number, because the mean of its divisors is an integer number (14793660180).

Almost surely, 2^521142241125 is an apocalyptic number.

521142241125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521142241125 is a deficient number, since it is larger than the sum of its proper divisors (425652010395).

521142241125 is a wasteful number, since it uses less digits than its factorization.

521142241125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104055 (or 104045 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 521142 and 241125, that added together give a palindrome (762267).

The spelling of 521142241125 in words is "five hundred twenty-one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred twenty-five".