513050103 has 48 divisors (see below), whose sum is σ = 808579200. Its totient is φ = 312361920.

The previous prime is 513050101. The next prime is 513050119. The reversal of 513050103 is 301050315.

It is a happy number.

513050103 is a `hidden beast` number, since 513 + 0 + 50 + 103 = 666.

It is not a de Polignac number, because 513050103 - 2¹ = 513050101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513050101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828528 + ... + 829146.

It is an arithmetic number, because the mean of its divisors is an integer number (16845400).

Almost surely, 2^513050103 is an apocalyptic number.

513050103 is a deficient number, since it is larger than the sum of its proper divisors (295529097).

513050103 is a wasteful number, since it uses less digits than its factorization.

513050103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 513050103 is about 22650.6093295523. The cubic root of 513050103 is about 800.5465551576.

The spelling of 513050103 in words is "five hundred thirteen million, fifty thousand, one hundred three".