251252506313 has 2 divisors, whose sum is σ = 251252506314. Its totient is φ = 251252506312.

The previous prime is 251252506259. The next prime is 251252506319. The reversal of 251252506313 is 313605252152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189635862784 + 61616643529 = 435472^2 + 248227^2 .

It is a cyclic number.

It is not a de Polignac number, because 251252506313 - 2²² = 251248312009 is a prime.

It is not a weakly prime, because it can be changed into another prime (251252506319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125626253156 + 125626253157.

It is an arithmetic number, because the mean of its divisors is an integer number (125626253157).

Almost surely, 2^251252506313 is an apocalyptic number.

It is an amenable number.

251252506313 is a deficient number, since it is larger than the sum of its proper divisors (1).

251252506313 is an equidigital number, since it uses as much as digits as its factorization.

251252506313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 251252506313 its reverse (313605252152), we get a palindrome (564857758465).

The spelling of 251252506313 in words is "two hundred fifty-one billion, two hundred fifty-two million, five hundred six thousand, three hundred thirteen".