251082846253 has 2 divisors, whose sum is σ = 251082846254. Its totient is φ = 251082846252.

The previous prime is 251082846197. The next prime is 251082846263. The reversal of 251082846253 is 352648280152.

251082846253 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., 228419952489 + 22662893764 = 477933^2 + 150542^2 .

It is a cyclic number.

It is not a de Polignac number, because 251082846253 - 2¹⁷ = 251082715181 is a prime.

It is a super-2 number, since 2×251082846253² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251082846263) 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, 125541423126 + 125541423127.

It is an arithmetic number, because the mean of its divisors is an integer number (125541423127).

Almost surely, 2^251082846253 is an apocalyptic number.

It is an amenable number.

251082846253 is a deficient number, since it is larger than the sum of its proper divisors (1).

251082846253 is an equidigital number, since it uses as much as digits as its factorization.

251082846253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 251082846253 in words is "two hundred fifty-one billion, eighty-two million, eight hundred forty-six thousand, two hundred fifty-three".