521401104125 has 64 divisors (see below), whose sum is σ = 751104057600. Its totient is φ = 357378048000.

The previous prime is 521401104113. The next prime is 521401104131.

It is a happy number.

521401104125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521401104125 - 2⁴ = 521401104109 is a prime.

It is a super-2 number, since 2×521401104125² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 521401104094 and 521401104103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4990421 + ... + 5093829.

It is an arithmetic number, because the mean of its divisors is an integer number (11736000900).

Almost surely, 2^521401104125 is an apocalyptic number.

521401104125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521401104125 is a deficient number, since it is larger than the sum of its proper divisors (229702953475).

521401104125 is a wasteful number, since it uses less digits than its factorization.

521401104125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103647 (or 103637 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 521401 and 104125, that added together give a palindrome (625526).

The spelling of 521401104125 in words is "five hundred twenty-one billion, four hundred one million, one hundred four thousand, one hundred twenty-five".