513002305 has 8 divisors (see below), whose sum is σ = 617571432. Its totient is φ = 409089408.

The previous prime is 513002233. The next prime is 513002363. The reversal of 513002305 is 503200315.

It can be written as a sum of positive squares in 4 ways, for example, as 49547521 + 463454784 = 7039^2 + 21528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513002305 - 2¹³ = 512994113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162334 + ... + 165463.

It is an arithmetic number, because the mean of its divisors is an integer number (77196429).

Almost surely, 2^513002305 is an apocalyptic number.

It is an amenable number.

513002305 is a deficient number, since it is larger than the sum of its proper divisors (104569127).

513002305 is a wasteful number, since it uses less digits than its factorization.

513002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328115.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 513002305 is about 22649.5541898731. The cubic root of 513002305 is about 800.5216935750.

The spelling of 513002305 in words is "five hundred thirteen million, two thousand, three hundred five".