2000523313 has 2 divisors, whose sum is σ = 2000523314. Its totient is φ = 2000523312.

The previous prime is 2000523277. The next prime is 2000523367. The reversal of 2000523313 is 3133250002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1882518544 + 118004769 = 43388^2 + 10863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000523313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000523383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000261656 + 1000261657.

It is an arithmetic number, because the mean of its divisors is an integer number (1000261657).

Almost surely, 2^2000523313 is an apocalyptic number.

It is an amenable number.

2000523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000523313 is an equidigital number, since it uses as much as digits as its factorization.

2000523313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 2000523313 is about 44727.2099845273. The cubic root of 2000523313 is about 1260.0309291560.

Adding to 2000523313 its reverse (3133250002), we get a palindrome (5133773315).

The spelling of 2000523313 in words is "two billion, five hundred twenty-three thousand, three hundred thirteen".