514004630100 has 144 divisors (see below), whose sum is σ = 1601962676160. Its totient is φ = 126494438400.

The previous prime is 514004630059. The next prime is 514004630129. The reversal of 514004630100 is 1036400415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19802931 + ... + 19828869.

Almost surely, 2^514004630100 is an apocalyptic number.

514004630100 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 514004630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800981338080).

514004630100 is an abundant number, since it is smaller than the sum of its proper divisors (1087958046060).

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

514004630100 is a wasteful number, since it uses less digits than its factorization.

514004630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31050 (or 31043 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 514004630100 in words is "five hundred fourteen billion, four million, six hundred thirty thousand, one hundred".