521400100 has 36 divisors (see below), whose sum is σ = 1218474964. Its totient is φ = 192516480.

The previous prime is 521400059. The next prime is 521400101. The reversal of 521400100 is 1004125.

It can be written as a sum of positive squares in 6 ways, for example, as 465124 + 520934976 = 682^2 + 22824^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (521400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199239 + ... + 201838.

Almost surely, 2^521400100 is an apocalyptic number.

521400100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

521400100 is an abundant number, since it is smaller than the sum of its proper divisors (697074864).

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

521400100 is a wasteful number, since it uses less digits than its factorization.

521400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401104 (or 401097 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 521400100 is about 22834.1870886616. The cubic root of 521400100 is about 804.8662252147.

Adding to 521400100 its reverse (1004125), we get a palindrome (522404225).

The spelling of 521400100 in words is "five hundred twenty-one million, four hundred thousand, one hundred".