1257085061 has 12 divisors (see below), whose sum is σ = 1301227200. Its totient is φ = 1214397720.

The previous prime is 1257085031. The next prime is 1257085097. The reversal of 1257085061 is 1605807521.

It is not a de Polignac number, because 1257085061 - 2¹⁴ = 1257068677 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257085031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997850 + ... + 999108.

It is an arithmetic number, because the mean of its divisors is an integer number (108435600).

Almost surely, 2^1257085061 is an apocalyptic number.

It is an amenable number.

1257085061 is a deficient number, since it is larger than the sum of its proper divisors (44142139).

1257085061 is a wasteful number, since it uses less digits than its factorization.

1257085061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1257085061 is about 35455.3953722138. The cubic root of 1257085061 is about 1079.2487519586.

The spelling of 1257085061 in words is "one billion, two hundred fifty-seven million, eighty-five thousand, sixty-one".