257523201000 has 384 divisors, whose sum is σ = 941377076640. Its totient is φ = 63120384000.

The previous prime is 257523200989. The next prime is 257523201007. The reversal of 257523201000 is 102325752.

It can be written as a sum of positive squares in 16 ways, for example, as 3428570916 + 254094630084 = 58554^2 + 504078^2 .

It is not an unprimeable number, because it can be changed into a prime (257523201007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28192434 + ... + 28201566.

Almost surely, 2^257523201000 is an apocalyptic number.

257523201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257523201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470688538320).

257523201000 is an abundant number, since it is smaller than the sum of its proper divisors (683853875640).

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

257523201000 is a wasteful number, since it uses less digits than its factorization.

257523201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 257523201000 its reverse (102325752), we get a palindrome (257625526752).

The spelling of 257523201000 in words is "two hundred fifty-seven billion, five hundred twenty-three million, two hundred one thousand".