513150033 has 32 divisors (see below), whose sum is σ = 781931520. Its totient is φ = 296303040.

The previous prime is 513150031. The next prime is 513150047. The reversal of 513150033 is 330051315.

It is a happy number.

It is not a de Polignac number, because 513150033 - 2¹ = 513150031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513149991 and 513150009.

It is not an unprimeable number, because it can be changed into a prime (513150031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213603 + ... + 215991.

It is an arithmetic number, because the mean of its divisors is an integer number (24435360).

Almost surely, 2^513150033 is an apocalyptic number.

It is an amenable number.

513150033 is a deficient number, since it is larger than the sum of its proper divisors (268781487).

513150033 is a wasteful number, since it uses less digits than its factorization.

513150033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 513150033 is about 22652.8151230702. The cubic root of 513150033 is about 800.5985276150.

The spelling of 513150033 in words is "five hundred thirteen million, one hundred fifty thousand, thirty-three".