521343404343125 has 240 divisors, whose sum is σ = 860951543316480. Its totient is φ = 311944893120000.

The previous prime is 521343404343109. The next prime is 521343404343161.

521343404343125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521343404343125 - 2⁴ = 521343404343109 is a prime.

It is a super-2 number, since 2×521343404343125² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3487102124 + ... + 3487251626.

It is an arithmetic number, because the mean of its divisors is an integer number (3587298097152).

Almost surely, 2^{521343404343125} is an apocalyptic number.

It is an amenable number.

521343404343125 is a deficient number, since it is larger than the sum of its proper divisors (339608138973355).

521343404343125 is a wasteful number, since it uses less digits than its factorization.

521343404343125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150030 (or 150008 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 52134340 and 4343125, that added together give a palindrome (56477465).

The spelling of 521343404343125 in words is "five hundred twenty-one trillion, three hundred forty-three billion, four hundred four million, three hundred forty-three thousand, one hundred twenty-five".