1257713856 has 336 divisors, whose sum is σ = 4450567680. Its totient is φ = 331407360.

The previous prime is 1257713801. The next prime is 1257713869. The reversal of 1257713856 is 6583177521.

It is a happy number.

1257713856 is a `hidden beast` number, since 12 + 577 + 13 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043941 + ... + 4044251.

Almost surely, 2^1257713856 is an apocalyptic number.

1257713856 is a gapful number since it is divisible by the number (16) 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 1257713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225283840).

1257713856 is an abundant number, since it is smaller than the sum of its proper divisors (3192853824).

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

1257713856 is a wasteful number, since it uses less digits than its factorization.

1257713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1257713856 is about 35464.2616728447. The cubic root of 1257713856 is about 1079.4286690068.

The spelling of 1257713856 in words is "one billion, two hundred fifty-seven million, seven hundred thirteen thousand, eight hundred fifty-six".