513153 has 24 divisors (see below), whose sum is σ = 806208. Its totient is φ = 313632.

The previous prime is 513137. The next prime is 513157. The reversal of 513153 is 351315.

It is a happy number.

513153 is a `hidden beast` number, since 513 + 153 = 666.

It is not a de Polignac number, because 513153 - 2⁴ = 513137 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 7626 + ... + 7692.

It is an arithmetic number, because the mean of its divisors is an integer number (33592).

2⁵¹³¹⁵³ is an apocalyptic number.

It is an amenable number.

513153 is a deficient number, since it is larger than the sum of its proper divisors (293055).

513153 is a wasteful number, since it uses less digits than its factorization.

513153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 513153 is about 716.3469829629. The cubic root of 513153 is about 80.0600070615.

Adding to 513153 its reverse (351315), we get a palindrome (864468).

It can be divided in two parts, 5131 and 53, that added together give a square (5184 = 72²).

The spelling of 513153 in words is "five hundred thirteen thousand, one hundred fifty-three".