150513 has 8 divisors (see below), whose sum is σ = 218976. Its totient is φ = 91200.

The previous prime is 150503. The next prime is 150517. The reversal of 150513 is 315051.

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

It is not a de Polignac number, because 150513 - 2⁴ = 150497 is a prime.

It is a Curzon number.

150513 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 150492 and 150501.

It is not an unprimeable number, because it can be changed into a prime (150517) 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, 2248 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (27372).

2¹⁵⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

150513 is a deficient number, since it is larger than the sum of its proper divisors (68463).

150513 is a wasteful number, since it uses less digits than its factorization.

150513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 150513 is about 387.9600494896. The cubic root of 150513 is about 53.1934310769.

Adding to 150513 its reverse (315051), we get a palindrome (465564).

The spelling of 150513 in words is "one hundred fifty thousand, five hundred thirteen".