253316993 has 2 divisors, whose sum is σ = 253316994. Its totient is φ = 253316992.

The previous prime is 253316977. The next prime is 253317007. The reversal of 253316993 is 399613352.

253316993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163123984 + 90193009 = 12772^2 + 9497^2 .

It is a cyclic number.

It is not a de Polignac number, because 253316993 - 2⁴ = 253316977 is a prime.

It is a super-3 number, since 3×253316993³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253316993.

It is not a weakly prime, because it can be changed into another prime (253316953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126658496 + 126658497.

It is an arithmetic number, because the mean of its divisors is an integer number (126658497).

Almost surely, 2^253316993 is an apocalyptic number.

It is an amenable number.

253316993 is a deficient number, since it is larger than the sum of its proper divisors (1).

253316993 is an equidigital number, since it uses as much as digits as its factorization.

253316993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 131220, while the sum is 41.

The square root of 253316993 is about 15915.9351908708. The cubic root of 253316993 is about 632.7343925500.

The spelling of 253316993 in words is "two hundred fifty-three million, three hundred sixteen thousand, nine hundred ninety-three".