513001365 has 16 divisors (see below), whose sum is σ = 821649408. Its totient is φ = 273318336.

The previous prime is 513001351. The next prime is 513001369. The reversal of 513001365 is 563100315.

It is not a de Polignac number, because 513001365 - 2⁶ = 513001301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513001369) by changing a digit.

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, 2197 + ... + 32106.

It is an arithmetic number, because the mean of its divisors is an integer number (51353088).

Almost surely, 2^513001365 is an apocalyptic number.

It is an amenable number.

513001365 is a deficient number, since it is larger than the sum of its proper divisors (308648043).

513001365 is a wasteful number, since it uses less digits than its factorization.

513001365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35308.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 513001365 is about 22649.5334389033. The cubic root of 513001365 is about 800.5212046293.

The spelling of 513001365 in words is "five hundred thirteen million, one thousand, three hundred sixty-five".