512150100 has 144 divisors (see below), whose sum is σ = 1847548416. Its totient is φ = 106416000.

The previous prime is 512150053. The next prime is 512150113. The reversal of 512150100 is 1051215.

512150100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 512150100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12015 + ... + 34185.

Almost surely, 2^512150100 is an apocalyptic number.

512150100 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 512150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923774208).

512150100 is an abundant number, since it is smaller than the sum of its proper divisors (1335398316).

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

512150100 is a wasteful number, since it uses less digits than its factorization.

512150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22206 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 512150100 is about 22630.7335276610. The cubic root of 512150100 is about 800.0781694450.

The spelling of 512150100 in words is "five hundred twelve million, one hundred fifty thousand, one hundred".