1257085116 has 96 divisors (see below), whose sum is σ = 3754311680. Its totient is φ = 356311872.

The previous prime is 1257085099. The next prime is 1257085121. The reversal of 1257085116 is 6115807521.

1257085116 is a `hidden beast` number, since 1 + 2 + 570 + 85 + 1 + 1 + 6 = 666.

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

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, 89466 + ... + 102558.

Almost surely, 2^1257085116 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 1257085116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877155840).

1257085116 is an abundant number, since it is smaller than the sum of its proper divisors (2497226564).

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

1257085116 is a wasteful number, since it uses less digits than its factorization.

1257085116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240 (or 13232 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1257085116 is about 35455.3961478362. The cubic root of 1257085116 is about 1079.2487676983.

The spelling of 1257085116 in words is "one billion, two hundred fifty-seven million, eighty-five thousand, one hundred sixteen".