513050301 has 16 divisors (see below), whose sum is σ = 760435200. Its totient is φ = 341871264.

The previous prime is 513050297. The next prime is 513050303. The reversal of 513050301 is 103050315.

It is a happy number.

It is not a de Polignac number, because 513050301 - 2² = 513050297 is a prime.

It is a super-2 number, since 2×513050301² = 526441222712381202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513050303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87865 + ... + 93521.

It is an arithmetic number, because the mean of its divisors is an integer number (47527200).

Almost surely, 2^513050301 is an apocalyptic number.

It is an amenable number.

513050301 is a deficient number, since it is larger than the sum of its proper divisors (247384899).

513050301 is a wasteful number, since it uses less digits than its factorization.

513050301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9019 counting only the distinct ones).

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

The square root of 513050301 is about 22650.6137002952. The cubic root of 513050301 is about 800.5466581418.

The spelling of 513050301 in words is "five hundred thirteen million, fifty thousand, three hundred one".