513313151 has 16 divisors (see below), whose sum is σ = 564785760. Its totient is φ = 463656960.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313151 is 151313315.

It is not a de Polignac number, because 513313151 - 2¹⁴ = 513296767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513313051) 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, 122255 + ... + 126383.

It is an arithmetic number, because the mean of its divisors is an integer number (35299110).

Almost surely, 2^513313151 is an apocalyptic number.

513313151 is a deficient number, since it is larger than the sum of its proper divisors (51472609).

513313151 is a wasteful number, since it uses less digits than its factorization.

513313151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346.

The product of its digits is 675, while the sum is 23.

The square root of 513313151 is about 22656.4152283630. The cubic root of 513313151 is about 800.6833489391.

Adding to 513313151 its reverse (151313315), we get a palindrome (664626466).

The spelling of 513313151 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred fifty-one".