254001513257 has 2 divisors, whose sum is σ = 254001513258. Its totient is φ = 254001513256.

The previous prime is 254001513223. The next prime is 254001513287. The reversal of 254001513257 is 752315100452.

254001513257 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., 175809135616 + 78192377641 = 419296^2 + 279629^2 .

It is a cyclic number.

It is not a de Polignac number, because 254001513257 - 2⁸ = 254001513001 is a prime.

It is not a weakly prime, because it can be changed into another prime (254001513287) 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, 127000756628 + 127000756629.

It is an arithmetic number, because the mean of its divisors is an integer number (127000756629).

Almost surely, 2^254001513257 is an apocalyptic number.

It is an amenable number.

254001513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

254001513257 is an equidigital number, since it uses as much as digits as its factorization.

254001513257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 254001513257 in words is "two hundred fifty-four billion, one million, five hundred thirteen thousand, two hundred fifty-seven".