521161161125 has 32 divisors (see below), whose sum is σ = 709675319808. Its totient is φ = 378952536000.

The previous prime is 521161161107. The next prime is 521161161127.

521161161125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521161161125 - 2⁶ = 521161161061 is a prime.

It is a super-2 number, since 2×521161161125² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 521161161091 and 521161161100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521161161127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7606772 + ... + 7674978.

It is an arithmetic number, because the mean of its divisors is an integer number (22177353744).

Almost surely, 2^521161161125 is an apocalyptic number.

521161161125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521161161125 is a deficient number, since it is larger than the sum of its proper divisors (188514158683).

521161161125 is a wasteful number, since it uses less digits than its factorization.

521161161125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73790 (or 73780 counting only the distinct ones).

The product of its digits is 3600, while the sum is 32.

It can be divided in two parts, 521161 and 161125, that added together give a palindrome (682286).

The spelling of 521161161125 in words is "five hundred twenty-one billion, one hundred sixty-one million, one hundred sixty-one thousand, one hundred twenty-five".