1265551056 has 240 divisors, whose sum is σ = 4442001408. Its totient is φ = 326764800.

The previous prime is 1265551033. The next prime is 1265551061. The reversal of 1265551056 is 6501555621.

1265551056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1265551056.

It is a congruent number.

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, 3448185 + ... + 3448551.

Almost surely, 2^1265551056 is an apocalyptic number.

1265551056 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 1265551056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221000704).

1265551056 is an abundant number, since it is smaller than the sum of its proper divisors (3176450352).

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

1265551056 is a wasteful number, since it uses less digits than its factorization.

1265551056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 1265551056 is about 35574.5844107841. The cubic root of 1265551056 is about 1081.6661115026. Note that the first 3 decimals are identical.

The spelling of 1265551056 in words is "one billion, two hundred sixty-five million, five hundred fifty-one thousand, fifty-six".