258165969601 has 8 divisors (see below), whose sum is σ = 258619776680. Its totient is φ = 257712440832.

The previous prime is 258165969539. The next prime is 258165969629. The reversal of 258165969601 is 106969561852.

It can be written as a sum of positive squares in 4 ways, for example, as 101330168976 + 156835800625 = 318324^2 + 396025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258165969601 - 2³¹ = 256018485953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258165969301) 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 in 7 ways as a sum of consecutive naturals, for example, 1832755 + ... + 1968583.

It is an arithmetic number, because the mean of its divisors is an integer number (32327472085).

Almost surely, 2^258165969601 is an apocalyptic number.

It is an amenable number.

258165969601 is a deficient number, since it is larger than the sum of its proper divisors (453807079).

258165969601 is a wasteful number, since it uses less digits than its factorization.

258165969601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139155.

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 258165969601 in words is "two hundred fifty-eight billion, one hundred sixty-five million, nine hundred sixty-nine thousand, six hundred one".