1305226368 has 48 divisors (see below), whose sum is σ = 3755928150. Its totient is φ = 435075072.

The previous prime is 1305226313. The next prime is 1305226369. The reversal of 1305226368 is 8636225031.

It is a happy number.

1305226368 is a `hidden beast` number, since 13 + 0 + 5 + 2 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771061824 + 534164544 = 27768^2 + 23112^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1305226369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 565353 + ... + 567656.

Almost surely, 2^1305226368 is an apocalyptic number.

1305226368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1305226368 is an abundant number, since it is smaller than the sum of its proper divisors (2450701782).

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

1305226368 is a wasteful number, since it uses less digits than its factorization.

1305226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133029 (or 1133014 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1305226368 is about 36127.9167403824. The cubic root of 1305226368 is about 1092.8534968920.

The spelling of 1305226368 in words is "one billion, three hundred five million, two hundred twenty-six thousand, three hundred sixty-eight".