257224422752 has 48 divisors (see below), whose sum is σ = 552622068432. Its totient is φ = 116883333120.

The previous prime is 257224422751. The next prime is 257224422821.

257224422752 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257224422751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018808 + ... + 1245960.

It is an arithmetic number, because the mean of its divisors is an integer number (11512959759).

Almost surely, 2^257224422752 is an apocalyptic number.

257224422752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257224422752 is an abundant number, since it is smaller than the sum of its proper divisors (295397645680).

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

257224422752 is a wasteful number, since it uses less digits than its factorization.

257224422752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230391 (or 230383 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 44.

It can be divided in two parts, 257224 and 422752, that added together give a palindrome (679976).

The spelling of 257224422752 in words is "two hundred fifty-seven billion, two hundred twenty-four million, four hundred twenty-two thousand, seven hundred fifty-two".