513006065 has 16 divisors (see below), whose sum is σ = 723231936. Its totient is φ = 344395200.

The previous prime is 513006037. The next prime is 513006077. The reversal of 513006065 is 560600315.

It is not a de Polignac number, because 513006065 - 2¹² = 513001969 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358031 + ... + 359460.

It is an arithmetic number, because the mean of its divisors is an integer number (45201996).

Almost surely, 2^513006065 is an apocalyptic number.

513006065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513006065 is a deficient number, since it is larger than the sum of its proper divisors (210225871).

513006065 is a wasteful number, since it uses less digits than its factorization.

513006065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717520.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 513006065 is about 22649.6371935623. The cubic root of 513006065 is about 800.5236493519.

The spelling of 513006065 in words is "five hundred thirteen million, six thousand, sixty-five".