259946649951 has 32 divisors (see below), whose sum is σ = 370925068800. Its totient is φ = 161438935680.

The previous prime is 259946649923. The next prime is 259946649979. The reversal of 259946649951 is 159946649952.

259946649951 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259946649923) and next prime (259946649979).

It is a de Polignac number, because none of the positive numbers 2^k-259946649951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259946649751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15140710 + ... + 15157868.

It is an arithmetic number, because the mean of its divisors is an integer number (11591408400).

Almost surely, 2^259946649951 is an apocalyptic number.

259946649951 is a deficient number, since it is larger than the sum of its proper divisors (110978418849).

259946649951 is a wasteful number, since it uses less digits than its factorization.

259946649951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599.

The product of its digits is 188956800, while the sum is 69.

Subtracting from 259946649951 its reverse (159946649952), we obtain a palindrome (99999999999).

The spelling of 259946649951 in words is "two hundred fifty-nine billion, nine hundred forty-six million, six hundred forty-nine thousand, nine hundred fifty-one".