521484125 has 32 divisors (see below), whose sum is σ = 674200800. Its totient is φ = 402432000.

The previous prime is 521484121. The next prime is 521484133.

521484125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 400440121 + 121044004 = 20011^2 + 11002^2 .

It is not a de Polignac number, because 521484125 - 2² = 521484121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521484091 and 521484100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521484121) 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, 496601 + ... + 497649.

It is an arithmetic number, because the mean of its divisors is an integer number (21068775).

Almost surely, 2^521484125 is an apocalyptic number.

It is an amenable number.

521484125 is a deficient number, since it is larger than the sum of its proper divisors (152716675).

521484125 is a wasteful number, since it uses less digits than its factorization.

521484125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1192 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The square root of 521484125 is about 22836.0269092502. The cubic root of 521484125 is about 804.9094583301.

The spelling of 521484125 in words is "five hundred twenty-one million, four hundred eighty-four thousand, one hundred twenty-five".