53634263123257 has 2 divisors, whose sum is σ = 53634263123258. Its totient is φ = 53634263123256.

The previous prime is 53634263123227. The next prime is 53634263123269. The reversal of 53634263123257 is 75232136243635.

It is a happy number.

53634263123257 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., 47665505968441 + 5968757154816 = 6904021^2 + 2443104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53634263123257 is a prime.

It is not a weakly prime, because it can be changed into another prime (53634263123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26817131561628 + 26817131561629.

It is an arithmetic number, because the mean of its divisors is an integer number (26817131561629).

Almost surely, 2^{53634263123257} is an apocalyptic number.

It is an amenable number.

53634263123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

53634263123257 is an equidigital number, since it uses as much as digits as its factorization.

53634263123257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16329600, while the sum is 52.

The spelling of 53634263123257 in words is "fifty-three trillion, six hundred thirty-four billion, two hundred sixty-three million, one hundred twenty-three thousand, two hundred fifty-seven".