152513 has 8 divisors (see below), whose sum is σ = 168000. Its totient is φ = 137808.

The previous prime is 152501. The next prime is 152519. The reversal of 152513 is 315251.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-152513 is a prime.

It is a Duffinian number.

152513 is a modest number, since divided by 513 gives 152 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 152491 and 152500.

It is not an unprimeable number, because it can be changed into a prime (152519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2¹⁵²⁵¹³ is an apocalyptic number.

It is an amenable number.

152513 is a deficient number, since it is larger than the sum of its proper divisors (15487).

152513 is a wasteful number, since it uses less digits than its factorization.

152513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391.

The product of its digits is 150, while the sum is 17.

The square root of 152513 is about 390.5291282350. The cubic root of 152513 is about 53.4280045940.

Adding to 152513 its reverse (315251), we get a palindrome (467764).

It can be divided in two parts, 15251 and 3, that multiplied together give a triangular number (45753 = T₃₀₂).

The spelling of 152513 in words is "one hundred fifty-two thousand, five hundred thirteen".