263813353 has 2 divisors, whose sum is σ = 263813354. Its totient is φ = 263813352.

The previous prime is 263813339. The next prime is 263813357. The reversal of 263813353 is 353318362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204261264 + 59552089 = 14292^2 + 7717^2 .

It is a cyclic number.

It is not a de Polignac number, because 263813353 - 2⁵ = 263813321 is a prime.

It is a super-2 number, since 2×263813353² = 139194970442205218, which contains 22 as substring.

It is equal to p_14392690 and since 263813353 and 14392690 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (263813357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131906676 + 131906677.

It is an arithmetic number, because the mean of its divisors is an integer number (131906677).

Almost surely, 2^263813353 is an apocalyptic number.

It is an amenable number.

263813353 is a deficient number, since it is larger than the sum of its proper divisors (1).

263813353 is an equidigital number, since it uses as much as digits as its factorization.

263813353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 34.

The square root of 263813353 is about 16242.3321293465. The cubic root of 263813353 is about 641.3556493823.

The spelling of 263813353 in words is "two hundred sixty-three million, eight hundred thirteen thousand, three hundred fifty-three".