253252217261 has 2 divisors, whose sum is σ = 253252217262. Its totient is φ = 253252217260.

The previous prime is 253252217243. The next prime is 253252217263. The reversal of 253252217261 is 162712252352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252677128900 + 575088361 = 502670^2 + 23981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253252217261 is a prime.

It is a super-2 number, since 2×253252217261² (a number of 24 digits) contains 22 as substring.

Together with 253252217263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253252217263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126626108630 + 126626108631.

It is an arithmetic number, because the mean of its divisors is an integer number (126626108631).

Almost surely, 2^253252217261 is an apocalyptic number.

It is an amenable number.

253252217261 is a deficient number, since it is larger than the sum of its proper divisors (1).

253252217261 is an equidigital number, since it uses as much as digits as its factorization.

253252217261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 38.

The spelling of 253252217261 in words is "two hundred fifty-three billion, two hundred fifty-two million, two hundred seventeen thousand, two hundred sixty-one".