257952259752 has 64 divisors (see below), whose sum is σ = 722519870400. Its totient is φ = 76054717440.

The previous prime is 257952259717. The next prime is 257952259769.

It is a happy number.

257952259752 is nontrivially palindromic in base 10.

257952259752 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257952259752² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13194177 + ... + 13213712.

It is an arithmetic number, because the mean of its divisors is an integer number (11289372975).

Almost surely, 2^257952259752 is an apocalyptic number.

257952259752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257952259752 is an abundant number, since it is smaller than the sum of its proper divisors (464567610648).

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

257952259752 is a wasteful number, since it uses less digits than its factorization.

257952259752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26407946 (or 26407942 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 60.

The spelling of 257952259752 in words is "two hundred fifty-seven billion, nine hundred fifty-two million, two hundred fifty-nine thousand, seven hundred fifty-two".