258038121461 has 2 divisors, whose sum is σ = 258038121462. Its totient is φ = 258038121460.

The previous prime is 258038121433. The next prime is 258038121463. The reversal of 258038121461 is 164121830852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139775038225 + 118263083236 = 373865^2 + 343894^2 .

It is a cyclic number.

It is not a de Polignac number, because 258038121461 - 2¹⁰ = 258038120437 is a prime.

Together with 258038121463, 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 (258038121463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129019060730 + 129019060731.

It is an arithmetic number, because the mean of its divisors is an integer number (129019060731).

Almost surely, 2^258038121461 is an apocalyptic number.

It is an amenable number.

258038121461 is a deficient number, since it is larger than the sum of its proper divisors (1).

258038121461 is an equidigital number, since it uses as much as digits as its factorization.

258038121461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 258038121461 in words is "two hundred fifty-eight billion, thirty-eight million, one hundred twenty-one thousand, four hundred sixty-one".