513151 has 4 divisors (see below), whose sum is σ = 514600. Its totient is φ = 511704.

The previous prime is 513137. The next prime is 513157. The reversal of 513151 is 151315.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 513151 - 2¹⁵ = 480383 is a prime.

It is a Duffinian number.

513151 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (128650).

2⁵¹³¹⁵¹ is an apocalyptic number.

513151 is a deficient number, since it is larger than the sum of its proper divisors (1449).

513151 is an equidigital number, since it uses as much as digits as its factorization.

513151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448.

The product of its digits is 75, while the sum is 16.

The square root of 513151 is about 716.3455869900. The cubic root of 513151 is about 80.0599030508.

Adding to 513151 its reverse (151315), we get a palindrome (664466).

The spelling of 513151 in words is "five hundred thirteen thousand, one hundred fifty-one".