521411114125 has 32 divisors (see below), whose sum is σ = 710613446400. Its totient is φ = 378814968000.

The previous prime is 521411114093. The next prime is 521411114141.

521411114125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521411114125 - 2⁵ = 521411114093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521411114093 and 521411114102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133551 + ... + 1525699.

It is an arithmetic number, because the mean of its divisors is an integer number (22206670200).

Almost surely, 2^521411114125 is an apocalyptic number.

521411114125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521411114125 is a deficient number, since it is larger than the sum of its proper divisors (189202332275).

521411114125 is a wasteful number, since it uses less digits than its factorization.

521411114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393142 (or 393132 counting only the distinct ones).

The product of its digits is 1600, while the sum is 28.

It can be divided in two parts, 521411 and 114125, that added together give a palindrome (635536).

The spelling of 521411114125 in words is "five hundred twenty-one billion, four hundred eleven million, one hundred fourteen thousand, one hundred twenty-five".