259464464952 has 128 divisors (see below), whose sum is σ = 814148928000. Its totient is φ = 66940992000.

The previous prime is 259464464951. The next prime is 259464464969.

It is a happy number.

259464464952 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259464464951) 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 31 ways as a sum of consecutive naturals, for example, 195799 + ... + 746502.

It is an arithmetic number, because the mean of its divisors is an integer number (6360538500).

Almost surely, 2^259464464952 is an apocalyptic number.

259464464952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

259464464952 is an abundant number, since it is smaller than the sum of its proper divisors (554684463048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259464464952 is a wasteful number, since it uses less digits than its factorization.

259464464952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942477 (or 942473 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 259464464952 in words is "two hundred fifty-nine billion, four hundred sixty-four million, four hundred sixty-four thousand, nine hundred fifty-two".