257340617250 has 64 divisors (see below), whose sum is σ = 642847121280. Its totient is φ = 68568081600.

The previous prime is 257340617221. The next prime is 257340617251. The reversal of 257340617250 is 52716043752.

257340617250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257340617250² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257340617251) 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, 782157 + ... + 1061343.

It is an arithmetic number, because the mean of its divisors is an integer number (10044486270).

Almost surely, 2^257340617250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257340617250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321423560640).

257340617250 is an abundant number, since it is smaller than the sum of its proper divisors (385506504030).

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

257340617250 is a wasteful number, since it uses less digits than its factorization.

257340617250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280436 (or 280426 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 257340617250 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred seventeen thousand, two hundred fifty".