258000286001 has 6 divisors (see below), whose sum is σ = 266591347506. Its totient is φ = 249677695200.

The previous prime is 258000285973. The next prime is 258000286003. The reversal of 258000286001 is 100682000852.

It can be written as a sum of positive squares in only one way, i.e., 235821928225 + 22178357776 = 485615^2 + 148924^2 .

It is not a de Polignac number, because 258000286001 - 2¹⁰ = 258000284977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258000286003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134234360 + ... + 134236281.

It is an arithmetic number, because the mean of its divisors is an integer number (44431891251).

Almost surely, 2^258000286001 is an apocalyptic number.

It is an amenable number.

258000286001 is a deficient number, since it is larger than the sum of its proper divisors (8591061505).

258000286001 is an equidigital number, since it uses as much as digits as its factorization.

258000286001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268470703 (or 268470672 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 258000286001 its reverse (100682000852), we get a palindrome (358682286853).

The spelling of 258000286001 in words is "two hundred fifty-eight billion, two hundred eighty-six thousand, one".