259137000001 has 16 divisors (see below), whose sum is σ = 299821845888. Its totient is φ = 221642467200.

The previous prime is 259136999993. The next prime is 259137000029. The reversal of 259137000001 is 100000731952.

It is not a de Polignac number, because 259137000001 - 2³ = 259136999993 is a prime.

It is a super-3 number, since 3×259137000001³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259137000091) 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 15 ways as a sum of consecutive naturals, for example, 8380116 + ... + 8410981.

It is an arithmetic number, because the mean of its divisors is an integer number (18738865368).

Almost surely, 2^259137000001 is an apocalyptic number.

It is an amenable number.

259137000001 is a deficient number, since it is larger than the sum of its proper divisors (40684845887).

259137000001 is a wasteful number, since it uses less digits than its factorization.

259137000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791192.

The product of its (nonzero) digits is 1890, while the sum is 28.

Adding to 259137000001 its reverse (100000731952), we get a palindrome (359137731953).

The spelling of 259137000001 in words is "two hundred fifty-nine billion, one hundred thirty-seven million, one", and thus it is an aban number.