513416605 has 16 divisors (see below), whose sum is σ = 664884864. Its totient is φ = 378342720.

The previous prime is 513416599. The next prime is 513416611. The reversal of 513416605 is 506614315.

It is an interprime number because it is at equal distance from previous prime (513416599) and next prime (513416611).

It is not a de Polignac number, because 513416605 - 2²¹ = 511319453 is a prime.

It is a super-3 number, since 3×513416605³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23872 + ... + 39958.

It is an arithmetic number, because the mean of its divisors is an integer number (41555304).

Almost surely, 2^513416605 is an apocalyptic number.

It is an amenable number.

513416605 is a deficient number, since it is larger than the sum of its proper divisors (151468259).

513416605 is a wasteful number, since it uses less digits than its factorization.

513416605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 513416605 is about 22658.6982194476. The cubic root of 513416605 is about 800.7371356843.

The spelling of 513416605 in words is "five hundred thirteen million, four hundred sixteen thousand, six hundred five".