1565364256 has 48 divisors (see below), whose sum is σ = 3188504088. Its totient is φ = 755968000.

The previous prime is 1565364247. The next prime is 1565364257. The reversal of 1565364256 is 6524635651.

It can be written as a sum of positive squares in 4 ways, for example, as 1285939600 + 279424656 = 35860^2 + 16716^2 .

It is not an unprimeable number, because it can be changed into a prime (1565364257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126606 + ... + 138418.

Almost surely, 2^1565364256 is an apocalyptic number.

1565364256 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 1565364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594252044).

1565364256 is an abundant number, since it is smaller than the sum of its proper divisors (1623139832).

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

1565364256 is a wasteful number, since it uses less digits than its factorization.

1565364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11957 counting only the distinct ones).

The product of its digits is 648000, while the sum is 43.

The square root of 1565364256 is about 39564.6844547003. The cubic root of 1565364256 is about 1161.1058261802.

The spelling of 1565364256 in words is "one billion, five hundred sixty-five million, three hundred sixty-four thousand, two hundred fifty-six".