253053812761 has 2 divisors, whose sum is σ = 253053812762. Its totient is φ = 253053812760.

The previous prime is 253053812657. The next prime is 253053812807. The reversal of 253053812761 is 167218350352.

253053812761 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., 134152980361 + 118900832400 = 366269^2 + 344820^2 .

It is a cyclic number.

It is not a de Polignac number, because 253053812761 - 2⁷ = 253053812633 is a prime.

It is not a weakly prime, because it can be changed into another prime (253053818761) 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, 126526906380 + 126526906381.

It is an arithmetic number, because the mean of its divisors is an integer number (126526906381).

Almost surely, 2^253053812761 is an apocalyptic number.

It is an amenable number.

253053812761 is a deficient number, since it is larger than the sum of its proper divisors (1).

253053812761 is an equidigital number, since it uses as much as digits as its factorization.

253053812761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 253053812761 in words is "two hundred fifty-three billion, fifty-three million, eight hundred twelve thousand, seven hundred sixty-one".