257271552 has 180 divisors, whose sum is σ = 808749480. Its totient is φ = 81119232.

The previous prime is 257271551. The next prime is 257271563. The reversal of 257271552 is 255172752.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (49000) is a multiple of the sum of its prime factors (700).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257271551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393658 + ... + 394310.

Almost surely, 2^257271552 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 257271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404374740).

257271552 is an abundant number, since it is smaller than the sum of its proper divisors (551477928).

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

257271552 is an equidigital number, since it uses as much as digits as its factorization.

257271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 257271552 is about 16039.6867799842. The cubic root of 257271552 is about 636.0099678039.

The spelling of 257271552 in words is "two hundred fifty-seven million, two hundred seventy-one thousand, five hundred fifty-two".