521404125 has 48 divisors (see below), whose sum is σ = 953744064. Its totient is φ = 252780000.

The previous prime is 521404069. The next prime is 521404129.

521404125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521404125 - 2¹⁹ = 520879837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521404095 and 521404104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521404129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39630 + ... + 51120.

It is an arithmetic number, because the mean of its divisors is an integer number (19869668).

Almost surely, 2^521404125 is an apocalyptic number.

521404125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521404125 is a deficient number, since it is larger than the sum of its proper divisors (432339939).

521404125 is a wasteful number, since it uses less digits than its factorization.

521404125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 521404125 is about 22834.2752238822. The cubic root of 521404125 is about 804.8682962910.

It can be divided in two parts, 52140 and 4125, that added together give a palindrome (56265).

The spelling of 521404125 in words is "five hundred twenty-one million, four hundred four thousand, one hundred twenty-five".