514132100 has 18 divisors (see below), whose sum is σ = 1115666874. Its totient is φ = 205652800.

The previous prime is 514132063. The next prime is 514132103. The reversal of 514132100 is 1231415.

It can be written as a sum of positive squares in 3 ways, for example, as 158357056 + 355775044 = 12584^2 + 18862^2 .

It is not an unprimeable number, because it can be changed into a prime (514132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2570561 + ... + 2570760.

It is an arithmetic number, because the mean of its divisors is an integer number (61981493).

Almost surely, 2^514132100 is an apocalyptic number.

514132100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514132100 is an abundant number, since it is smaller than the sum of its proper divisors (601534774).

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

514132100 is a wasteful number, since it uses less digits than its factorization.

514132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141335 (or 5141328 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 514132100 is about 22674.4812509570. The cubic root of 514132100 is about 801.1089308801.

Adding to 514132100 its reverse (1231415), we get a palindrome (515363515).

The spelling of 514132100 in words is "five hundred fourteen million, one hundred thirty-two thousand, one hundred".