523033513 has 2 divisors, whose sum is σ = 523033514. Its totient is φ = 523033512.

The previous prime is 523033493. The next prime is 523033529. The reversal of 523033513 is 315330325.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325153024 + 197880489 = 18032^2 + 14067^2 .

It is a cyclic number.

It is not a de Polignac number, because 523033513 - 2⁹ = 523033001 is a prime.

It is a super-2 number, since 2×523033513² = 547128111442242338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (523033573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261516756 + 261516757.

It is an arithmetic number, because the mean of its divisors is an integer number (261516757).

Almost surely, 2^523033513 is an apocalyptic number.

It is an amenable number.

523033513 is a deficient number, since it is larger than the sum of its proper divisors (1).

523033513 is an equidigital number, since it uses as much as digits as its factorization.

523033513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 523033513 is about 22869.9259509077. The cubic root of 523033513 is about 805.7058289976.

Adding to 523033513 its reverse (315330325), we get a palindrome (838363838).

The spelling of 523033513 in words is "five hundred twenty-three million, thirty-three thousand, five hundred thirteen".