1257834906 has 80 divisors (see below), whose sum is σ = 2913789384. Its totient is φ = 405254016.

The previous prime is 1257834899. The next prime is 1257834917. The reversal of 1257834906 is 6094387521.

1257834906 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1199998881 + 57836025 = 34641^2 + 7605^2 .

1257834906 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1036356 + ... + 1037568.

It is a 1-persistent number, because it is pandigital, but 2⋅1257834906 = 2515669812 is not.

It is a vampire number, since it can be written as 21834 ⋅ 57609 (with its own digits).

Almost surely, 2^1257834906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257834906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456894692).

1257834906 is an abundant number, since it is smaller than the sum of its proper divisors (1655954478).

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

1257834906 is a wasteful number, since it uses less digits than its factorization.

1257834906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1257834906 is about 35465.9682794648. The cubic root of 1257834906 is about 1079.4632981471.

The spelling of 1257834906 in words is "one billion, two hundred fifty-seven million, eight hundred thirty-four thousand, nine hundred six".