521113222311125 has 16 divisors (see below), whose sum is σ = 650402623778544. Its totient is φ = 416856396865600.

The previous prime is 521113222311047. The next prime is 521113222311127.

It is a happy number.

521113222311125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 16877619464644 + 504235602846481 = 4108238^2 + 22455191^2 .

It is not a de Polignac number, because 521113222311125 - 2¹⁶ = 521113222245589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 521113222311091 and 521113222311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521113222311127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169374194 + ... + 172423443.

It is an arithmetic number, because the mean of its divisors is an integer number (40650163986159).

Almost surely, 2^{521113222311125} is an apocalyptic number.

It is an amenable number.

521113222311125 is a deficient number, since it is larger than the sum of its proper divisors (129289401467419).

521113222311125 is a wasteful number, since it uses less digits than its factorization.

521113222311125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341809849 (or 341809839 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The spelling of 521113222311125 in words is "five hundred twenty-one trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty-five".