521016100 has 144 divisors (see below), whose sum is σ = 1316790720. Its totient is φ = 176947200.

The previous prime is 521016091. The next prime is 521016107. The reversal of 521016100 is 1610125.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (521016107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027172 + ... + 2027428.

It is an arithmetic number, because the mean of its divisors is an integer number (9144380).

Almost surely, 2^521016100 is an apocalyptic number.

521016100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658395360).

521016100 is an abundant number, since it is smaller than the sum of its proper divisors (795774620).

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

521016100 is a wasteful number, since it uses less digits than its factorization.

521016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 521016100 is about 22825.7770952053. Note that the first 3 decimals coincide. The cubic root of 521016100 is about 804.6685877794.

Adding to 521016100 its reverse (1610125), we get a palindrome (522626225).

The spelling of 521016100 in words is "five hundred twenty-one million, sixteen thousand, one hundred".