513001363 has 8 divisors (see below), whose sum is σ = 597349728. Its totient is φ = 431418624.

The previous prime is 513001351. The next prime is 513001369. The reversal of 513001363 is 363100315.

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

It is not a de Polignac number, because 513001363 - 2⁵ = 513001331 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 691006 + ... + 691747.

It is an arithmetic number, because the mean of its divisors is an integer number (74668716).

Almost surely, 2^513001363 is an apocalyptic number.

513001363 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

513001363 is a deficient number, since it is larger than the sum of its proper divisors (84348365).

513001363 is a wasteful number, since it uses less digits than its factorization.

513001363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382813.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 513001363 is about 22649.5333947523. The cubic root of 513001363 is about 800.5212035889.

Adding to 513001363 its reverse (363100315), we get a palindrome (876101678).

The spelling of 513001363 in words is "five hundred thirteen million, one thousand, three hundred sixty-three".