514152100 has 108 divisors (see below), whose sum is σ = 1416003120. Its totient is φ = 160238400.

The previous prime is 514152091. The next prime is 514152101. The reversal of 514152100 is 1251415.

It is not an unprimeable number, because it can be changed into a prime (514152101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49131 + ... + 58669.

It is an arithmetic number, because the mean of its divisors is an integer number (13111140).

Almost surely, 2^514152100 is an apocalyptic number.

514152100 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 514152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708001560).

514152100 is an abundant number, since it is smaller than the sum of its proper divisors (901851020).

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

514152100 is a wasteful number, since it uses less digits than its factorization.

514152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 514152100 is about 22674.9222710906. The cubic root of 514152100 is about 801.1193185936.

The spelling of 514152100 in words is "five hundred fourteen million, one hundred fifty-two thousand, one hundred".