249772268348753 has 2 divisors, whose sum is σ = 249772268348754. Its totient is φ = 249772268348752.

The previous prime is 249772268348621. The next prime is 249772268348767. The reversal of 249772268348753 is 357843862277942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249701718614209 + 70549734544 = 15801953^2 + 265612^2 .

It is a cyclic number.

It is not a de Polignac number, because 249772268348753 - 2¹² = 249772268344657 is a prime.

It is not a weakly prime, because it can be changed into another prime (249772268347753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124886134174376 + 124886134174377.

It is an arithmetic number, because the mean of its divisors is an integer number (124886134174377).

Almost surely, 2^{249772268348753} is an apocalyptic number.

It is an amenable number.

249772268348753 is a deficient number, since it is larger than the sum of its proper divisors (1).

249772268348753 is an equidigital number, since it uses as much as digits as its factorization.

249772268348753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6827950080, while the sum is 77.

The spelling of 249772268348753 in words is "two hundred forty-nine trillion, seven hundred seventy-two billion, two hundred sixty-eight million, three hundred forty-eight thousand, seven hundred fifty-three".