513540100 has 18 divisors (see below), whose sum is σ = 1114382234. Its totient is φ = 205416000.

The previous prime is 513540077. The next prime is 513540103. The reversal of 513540100 is 1045315.

It can be written as a sum of positive squares in 3 ways, for example, as 97298496 + 416241604 = 9864^2 + 20402^2 .

It is not an unprimeable number, because it can be changed into a prime (513540103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2567601 + ... + 2567800.

Almost surely, 2^513540100 is an apocalyptic number.

513540100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513540100 is an abundant number, since it is smaller than the sum of its proper divisors (600842134).

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

513540100 is a wasteful number, since it uses less digits than its factorization.

513540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135415 (or 5135408 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 513540100 is about 22661.4231680184. The cubic root of 513540100 is about 800.8013324815.

Adding to 513540100 its reverse (1045315), we get a palindrome (514585415).

The spelling of 513540100 in words is "five hundred thirteen million, five hundred forty thousand, one hundred".