1257150 has 72 divisors (see below), whose sum is σ = 3426120. Its totient is φ = 304640.

The previous prime is 1257131. The next prime is 1257163. The reversal of 1257150 is 517521.

It is a super-2 number, since 2×1257150² = 3160852245000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 43336 + ... + 43364.

It is an arithmetic number, because the mean of its divisors is an integer number (47585).

2^1257150 is an apocalyptic number.

1257150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713060).

1257150 is an abundant number, since it is smaller than the sum of its proper divisors (2168970).

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

1257150 is a wasteful number, since it uses less digits than its factorization.

1257150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1257150 is about 1121.2270064532. The cubic root of 1257150 is about 107.9267335726.

It can be divided in two parts, 12571 and 50, that added together give a palindrome (12621).

The spelling of 1257150 in words is "one million, two hundred fifty-seven thousand, one hundred fifty".