515380500 has 144 divisors (see below), whose sum is σ = 1721747664. Its totient is φ = 129331200.

The previous prime is 515380493. The next prime is 515380501. The reversal of 515380500 is 5083515.

515380500 is a `hidden beast` number, since 5 + 153 + 8 + 0 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98485776 + 416894724 = 9924^2 + 20418^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515380501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73132 + ... + 79868.

It is an arithmetic number, because the mean of its divisors is an integer number (11956581).

Almost surely, 2^515380500 is an apocalyptic number.

515380500 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 515380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860873832).

515380500 is an abundant number, since it is smaller than the sum of its proper divisors (1206367164).

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

515380500 is a wasteful number, since it uses less digits than its factorization.

515380500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 515380500 is about 22701.9933045537. The cubic root of 515380500 is about 801.7568162551.

The spelling of 515380500 in words is "five hundred fifteen million, three hundred eighty thousand, five hundred".