250505323153 has 2 divisors, whose sum is σ = 250505323154. Its totient is φ = 250505323152.

The previous prime is 250505323121. The next prime is 250505323157. The reversal of 250505323153 is 351323505052.

250505323153 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., 222805712529 + 27699610624 = 472023^2 + 166432^2 .

It is a cyclic number.

It is not a de Polignac number, because 250505323153 - 2⁵ = 250505323121 is a prime.

It is a super-2 number, since 2×250505323153² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (250505323157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125252661576 + 125252661577.

It is an arithmetic number, because the mean of its divisors is an integer number (125252661577).

Almost surely, 2^250505323153 is an apocalyptic number.

It is an amenable number.

250505323153 is a deficient number, since it is larger than the sum of its proper divisors (1).

250505323153 is an equidigital number, since it uses as much as digits as its factorization.

250505323153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 250505323153 in words is "two hundred fifty billion, five hundred five million, three hundred twenty-three thousand, one hundred fifty-three".