251142747553 has 2 divisors, whose sum is σ = 251142747554. Its totient is φ = 251142747552.

The previous prime is 251142747529. The next prime is 251142747563. The reversal of 251142747553 is 355747241152.

251142747553 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., 165719825569 + 85422921984 = 407087^2 + 292272^2 .

It is a cyclic number.

It is not a de Polignac number, because 251142747553 - 2⁵ = 251142747521 is a prime.

It is not a weakly prime, because it can be changed into another prime (251142747563) 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, 125571373776 + 125571373777.

It is an arithmetic number, because the mean of its divisors is an integer number (125571373777).

Almost surely, 2^251142747553 is an apocalyptic number.

It is an amenable number.

251142747553 is a deficient number, since it is larger than the sum of its proper divisors (1).

251142747553 is an equidigital number, since it uses as much as digits as its factorization.

251142747553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176000, while the sum is 46.

The spelling of 251142747553 in words is "two hundred fifty-one billion, one hundred forty-two million, seven hundred forty-seven thousand, five hundred fifty-three".