521346643125 has 80 divisors (see below), whose sum is σ = 1082971338240. Its totient is φ = 216663480000.

The previous prime is 521346643123. The next prime is 521346643159.

521346643125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521346643125 - 2¹ = 521346643123 is a prime.

It is a super-2 number, since 2×521346643125² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521346643123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1661155 + ... + 1949904.

It is an arithmetic number, because the mean of its divisors is an integer number (13537141728).

Almost surely, 2^521346643125 is an apocalyptic number.

521346643125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521346643125 is an abundant number, since it is smaller than the sum of its proper divisors (561624695115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521346643125 is a wasteful number, since it uses less digits than its factorization.

521346643125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611100 (or 3611085 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 521346643125 in words is "five hundred twenty-one billion, three hundred forty-six million, six hundred forty-three thousand, one hundred twenty-five".