257453133056 has 144 divisors (see below), whose sum is σ = 607321128960. Its totient is φ = 106591057920.

The previous prime is 257453133053. The next prime is 257453133059. The reversal of 257453133056 is 650331354752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257453133053) and next prime (257453133059).

It is a junction number, because it is equal to n+sod(n) for n = 257453132998 and 257453133016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257453133053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34382945 + ... + 34390431.

It is an arithmetic number, because the mean of its divisors is an integer number (4217507840).

Almost surely, 2^257453133056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257453133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303660564480).

257453133056 is an abundant number, since it is smaller than the sum of its proper divisors (349867995904).

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

257453133056 is an equidigital number, since it uses as much as digits as its factorization.

257453133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 44.

The spelling of 257453133056 in words is "two hundred fifty-seven billion, four hundred fifty-three million, one hundred thirty-three thousand, fifty-six".