2251151663153 has 2 divisors, whose sum is σ = 2251151663154. Its totient is φ = 2251151663152.

The previous prime is 2251151663143. The next prime is 2251151663161. The reversal of 2251151663153 is 3513661511522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1657378161664 + 593773501489 = 1287392^2 + 770567^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251151663153 - 2²⁶ = 2251084554289 is a prime.

It is a super-3 number, since 3×2251151663153³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251151663153.

It is not a weakly prime, because it can be changed into another prime (2251151663113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125575831576 + 1125575831577.

It is an arithmetic number, because the mean of its divisors is an integer number (1125575831577).

Almost surely, 2^{2251151663153} is an apocalyptic number.

It is an amenable number.

2251151663153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251151663153 is an equidigital number, since it uses as much as digits as its factorization.

2251151663153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162000, while the sum is 41.

The spelling of 2251151663153 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-one million, six hundred sixty-three thousand, one hundred fifty-three".