513050307 has 32 divisors (see below), whose sum is σ = 863170560. Its totient is φ = 263298720.

The previous prime is 513050303. The next prime is 513050311. The reversal of 513050307 is 703050315.

It is an interprime number because it is at equal distance from previous prime (513050303) and next prime (513050311).

It is not a de Polignac number, because 513050307 - 2² = 513050303 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 5794 + ... + 32552.

It is an arithmetic number, because the mean of its divisors is an integer number (26974080).

Almost surely, 2^513050307 is an apocalyptic number.

513050307 is a deficient number, since it is larger than the sum of its proper divisors (350120253).

513050307 is a wasteful number, since it uses less digits than its factorization.

513050307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26863.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 513050307 is about 22650.6138327419. The cubic root of 513050307 is about 800.5466612626.

The spelling of 513050307 in words is "five hundred thirteen million, fifty thousand, three hundred seven".