623513 has 6 divisors (see below), whose sum is σ = 685482. Its totient is φ = 566720.

The previous prime is 623477. The next prime is 623521. The reversal of 623513 is 315326.

It can be written as a sum of positive squares in only one way, i.e., 559504 + 64009 = 748^2 + 253^2 .

It is not a de Polignac number, because 623513 - 2¹⁴ = 607129 is a prime.

It is a super-2 number, since 2×623513² = 777536922338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (623563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2456 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (114247).

2⁶²³⁵¹³ is an apocalyptic number.

It is an amenable number.

623513 is a deficient number, since it is larger than the sum of its proper divisors (61969).

623513 is a wasteful number, since it uses less digits than its factorization.

623513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 623513 is about 789.6283936131. The cubic root of 623513 is about 85.4309372416.

Adding to 623513 its reverse (315326), we get a palindrome (938839).

The spelling of 623513 in words is "six hundred twenty-three thousand, five hundred thirteen".