257250336000 has 288 divisors, whose sum is σ = 976524826368. Its totient is φ = 58799923200.

The previous prime is 257250335983. The next prime is 257250336017. The reversal of 257250336000 is 633052752.

It is an interprime number because it is at equal distance from previous prime (257250335983) and next prime (257250336017).

It is a super-2 number, since 2×257250336000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480594 + ... + 863406.

Almost surely, 2^257250336000 is an apocalyptic number.

257250336000 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 257250336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488262413184).

257250336000 is an abundant number, since it is smaller than the sum of its proper divisors (719274490368).

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

257250336000 is an equidigital number, since it uses as much as digits as its factorization.

257250336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382854 (or 382830 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

Adding to 257250336000 its reverse (633052752), we get a palindrome (257883388752).

It can be divided in two parts, 257250 and 336000, that multiplied together give a square (86436000000 = 294000²).

The spelling of 257250336000 in words is "two hundred fifty-seven billion, two hundred fifty million, three hundred thirty-six thousand".