1355582256 has 120 divisors (see below), whose sum is σ = 4093220160. Its totient is φ = 385451136.

The previous prime is 1355582231. The next prime is 1355582269. The reversal of 1355582256 is 6522855531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532635 + ... + 535173.

It is an arithmetic number, because the mean of its divisors is an integer number (34110168).

Almost surely, 2^1355582256 is an apocalyptic number.

1355582256 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 1355582256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046610080).

1355582256 is an abundant number, since it is smaller than the sum of its proper divisors (2737637904).

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

1355582256 is a wasteful number, since it uses less digits than its factorization.

1355582256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2778 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The square root of 1355582256 is about 36818.2326572040. The cubic root of 1355582256 is about 1106.7307033798.

The spelling of 1355582256 in words is "one billion, three hundred fifty-five million, five hundred eighty-two thousand, two hundred fifty-six".