251252220791017 has 2 divisors, whose sum is σ = 251252220791018. Its totient is φ = 251252220791016.

The previous prime is 251252220790979. The next prime is 251252220791059. The reversal of 251252220791017 is 710197022252152.

251252220791017 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., 249946329515481 + 1305891275536 = 15809691^2 + 1142756^2 .

It is a cyclic number.

It is not a de Polignac number, because 251252220791017 - 2¹⁵ = 251252220758249 is a prime.

It is not a weakly prime, because it can be changed into another prime (251252221791017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125626110395508 + 125626110395509.

It is an arithmetic number, because the mean of its divisors is an integer number (125626110395509).

Almost surely, 2^{251252220791017} is an apocalyptic number.

It is an amenable number.

251252220791017 is a deficient number, since it is larger than the sum of its proper divisors (1).

251252220791017 is an equidigital number, since it uses as much as digits as its factorization.

251252220791017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 251252220791017 in words is "two hundred fifty-one trillion, two hundred fifty-two billion, two hundred twenty million, seven hundred ninety-one thousand, seventeen".