253305623 has 2 divisors, whose sum is σ = 253305624. Its totient is φ = 253305622.

The previous prime is 253305599. The next prime is 253305631. The reversal of 253305623 is 326503352.

253305623 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 is a cyclic number.

It is not a de Polignac number, because 253305623 - 2¹⁶ = 253240087 is a prime.

It is equal to p_13850183 and since 253305623 and 13850183 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253305653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126652811 + 126652812.

It is an arithmetic number, because the mean of its divisors is an integer number (126652812).

Almost surely, 2^253305623 is an apocalyptic number.

253305623 is a deficient number, since it is larger than the sum of its proper divisors (1).

253305623 is an equidigital number, since it uses as much as digits as its factorization.

253305623 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 253305623 is about 15915.5779976726. The cubic root of 253305623 is about 632.7249257582.

Adding to 253305623 its reverse (326503352), we get a palindrome (579808975).

The spelling of 253305623 in words is "two hundred fifty-three million, three hundred five thousand, six hundred twenty-three".