513322623 has 32 divisors (see below), whose sum is σ = 834048000. Its totient is φ = 309441600.

The previous prime is 513322619. The next prime is 513322627. The reversal of 513322623 is 326223315.

513322623 is a `hidden beast` number, since 5 + 1 + 3 + 32 + 2 + 623 = 666.

It is an interprime number because it is at equal distance from previous prime (513322619) and next prime (513322627).

It is not a de Polignac number, because 513322623 - 2² = 513322619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513322627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52203 + ... + 61251.

It is an arithmetic number, because the mean of its divisors is an integer number (26064000).

Almost surely, 2^513322623 is an apocalyptic number.

513322623 is a deficient number, since it is larger than the sum of its proper divisors (320725377).

513322623 is a wasteful number, since it uses less digits than its factorization.

513322623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9254 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 513322623 is about 22656.6242631156. The cubic root of 513322623 is about 800.6882738249.

Adding to 513322623 its reverse (326223315), we get a palindrome (839545938).

The spelling of 513322623 in words is "five hundred thirteen million, three hundred twenty-two thousand, six hundred twenty-three".