1265749056 has 336 divisors, whose sum is σ = 4331378688. Its totient is φ = 351267840.

The previous prime is 1265749039. The next prime is 1265749063. The reversal of 1265749056 is 6509475621.

1265749056 is a `hidden beast` number, since 1 + 26 + 574 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×1265749056² = 3204241345529782272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9966465 + ... + 9966591.

It is an arithmetic number, because the mean of its divisors is an integer number (12891008).

Almost surely, 2^1265749056 is an apocalyptic number.

1265749056 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 1265749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165689344).

1265749056 is an abundant number, since it is smaller than the sum of its proper divisors (3065629632).

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

1265749056 is a wasteful number, since it uses less digits than its factorization.

1265749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1265749056 is about 35577.3671875815. The cubic root of 1265749056 is about 1081.7225187413.

The spelling of 1265749056 in words is "one billion, two hundred sixty-five million, seven hundred forty-nine thousand, fifty-six".