258837851311261 has 2 divisors, whose sum is σ = 258837851311262. Its totient is φ = 258837851311260.

The previous prime is 258837851311241. The next prime is 258837851311357. The reversal of 258837851311261 is 162113158738852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210293676268036 + 48544175043225 = 14501506^2 + 6967365^2 .

It is a cyclic number.

It is not a de Polignac number, because 258837851311261 - 2⁹ = 258837851310749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258837851311261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258837851311201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129418925655630 + 129418925655631.

It is an arithmetic number, because the mean of its divisors is an integer number (129418925655631).

Almost surely, 2^{258837851311261} is an apocalyptic number.

It is an amenable number.

258837851311261 is a deficient number, since it is larger than the sum of its proper divisors (1).

258837851311261 is an equidigital number, since it uses as much as digits as its factorization.

258837851311261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19353600, while the sum is 61.

The spelling of 258837851311261 in words is "two hundred fifty-eight trillion, eight hundred thirty-seven billion, eight hundred fifty-one million, three hundred eleven thousand, two hundred sixty-one".