152613 has 12 divisors (see below), whose sum is σ = 227968. Its totient is φ = 98280.

The previous prime is 152599. The next prime is 152617. The reversal of 152613 is 316251.

152613 is a `hidden beast` number, since 1 + 52 + 613 = 666.

152613 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 152613 - 2⁴ = 152597 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 (152617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 552.

2¹⁵²⁶¹³ is an apocalyptic number.

It is an amenable number.

152613 is a deficient number, since it is larger than the sum of its proper divisors (75355).

152613 is a wasteful number, since it uses less digits than its factorization.

152613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 152613 is about 390.6571386779. The cubic root of 152613 is about 53.4396792997.

Adding to 152613 its reverse (316251), we get a palindrome (468864).

It can be divided in two parts, 15 and 2613, that added together give a triangular number (2628 = T₇₂).

The spelling of 152613 in words is "one hundred fifty-two thousand, six hundred thirteen".