1271516256 has 72 divisors (see below), whose sum is σ = 3619455840. Its totient is φ = 423419136.

The previous prime is 1271516251. The next prime is 1271516293. The reversal of 1271516256 is 6526151721.

1271516256 is a `hidden beast` number, since 1 + 27 + 1 + 5 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1271516256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271516251) 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, 454510 + ... + 457298.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^1271516256 is an apocalyptic number.

1271516256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1271516256 is an abundant number, since it is smaller than the sum of its proper divisors (2347939584).

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

1271516256 is a wasteful number, since it uses less digits than its factorization.

1271516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4377 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1271516256 is about 35658.3266012302. The cubic root of 1271516256 is about 1083.3629331768.

Adding to 1271516256 its reverse (6526151721), we get a palindrome (7797667977).

The spelling of 1271516256 in words is "one billion, two hundred seventy-one million, five hundred sixteen thousand, two hundred fifty-six".