258923250749 has 2 divisors, whose sum is σ = 258923250750. Its totient is φ = 258923250748.

The previous prime is 258923250673. The next prime is 258923250787. The reversal of 258923250749 is 947052329852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252915450649 + 6007800100 = 502907^2 + 77510^2 .

It is a cyclic number.

It is not a de Polignac number, because 258923250749 - 2³² = 254628283453 is a prime.

It is a super-3 number, since 3×258923250749³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 258923250694 and 258923250703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258923250149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129461625374 + 129461625375.

It is an arithmetic number, because the mean of its divisors is an integer number (129461625375).

Almost surely, 2^258923250749 is an apocalyptic number.

It is an amenable number.

258923250749 is a deficient number, since it is larger than the sum of its proper divisors (1).

258923250749 is an equidigital number, since it uses as much as digits as its factorization.

258923250749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 258923250749 in words is "two hundred fifty-eight billion, nine hundred twenty-three million, two hundred fifty thousand, seven hundred forty-nine".