257485707584752 has 40 divisors (see below), whose sum is σ = 499316012208560. Its totient is φ = 128629971993600.

The previous prime is 257485707584701. The next prime is 257485707584801.

It is a happy number.

257485707584752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×257485707584752² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452502274 + ... + 453070942.

It is an arithmetic number, because the mean of its divisors is an integer number (12482900305214).

Almost surely, 2^{257485707584752} is an apocalyptic number.

It is an amenable number.

257485707584752 is a deficient number, since it is larger than the sum of its proper divisors (241830304623808).

257485707584752 is a wasteful number, since it uses less digits than its factorization.

257485707584752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593441 (or 593435 counting only the distinct ones).

The product of its (nonzero) digits is 6146560000, while the sum is 76.

The spelling of 257485707584752 in words is "two hundred fifty-seven trillion, four hundred eighty-five billion, seven hundred seven million, five hundred eighty-four thousand, seven hundred fifty-two".