23563233727513 has 2 divisors, whose sum is σ = 23563233727514. Its totient is φ = 23563233727512.

The previous prime is 23563233727469. The next prime is 23563233727547. The reversal of 23563233727513 is 31572733236532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22928266992409 + 634966735104 = 4788347^2 + 796848^2 .

It is a cyclic number.

It is not a de Polignac number, because 23563233727513 - 2¹³ = 23563233719321 is a prime.

It is not a weakly prime, because it can be changed into another prime (23563233727013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11781616863756 + 11781616863757.

It is an arithmetic number, because the mean of its divisors is an integer number (11781616863757).

Almost surely, 2^{23563233727513} is an apocalyptic number.

It is an amenable number.

23563233727513 is a deficient number, since it is larger than the sum of its proper divisors (1).

23563233727513 is an equidigital number, since it uses as much as digits as its factorization.

23563233727513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14288400, while the sum is 52.

The spelling of 23563233727513 in words is "twenty-three trillion, five hundred sixty-three billion, two hundred thirty-three million, seven hundred twenty-seven thousand, five hundred thirteen".