253149672577 has 2 divisors, whose sum is σ = 253149672578. Its totient is φ = 253149672576.

The previous prime is 253149672571. The next prime is 253149672617. The reversal of 253149672577 is 775276941352.

253149672577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238856035441 + 14293637136 = 488729^2 + 119556^2 .

It is a cyclic number.

It is not a de Polignac number, because 253149672577 - 2¹⁹ = 253149148289 is a prime.

It is not a weakly prime, because it can be changed into another prime (253149672571) 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, 126574836288 + 126574836289.

It is an arithmetic number, because the mean of its divisors is an integer number (126574836289).

Almost surely, 2^253149672577 is an apocalyptic number.

It is an amenable number.

253149672577 is a deficient number, since it is larger than the sum of its proper divisors (1).

253149672577 is an equidigital number, since it uses as much as digits as its factorization.

253149672577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22226400, while the sum is 58.

The spelling of 253149672577 in words is "two hundred fifty-three billion, one hundred forty-nine million, six hundred seventy-two thousand, five hundred seventy-seven".