1352561805 has 48 divisors (see below), whose sum is σ = 2795869440. Its totient is φ = 591427584.

The previous prime is 1352561761. The next prime is 1352561809. The reversal of 1352561805 is 5081652531.

It is a happy number.

1352561805 is a `hidden beast` number, since 1 + 35 + 2 + 5 + 618 + 0 + 5 = 666.

It is not a de Polignac number, because 1352561805 - 2⁶ = 1352561741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1352561805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352561809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86100 + ... + 100589.

It is an arithmetic number, because the mean of its divisors is an integer number (58247280).

Almost surely, 2^1352561805 is an apocalyptic number.

1352561805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352561805 is an abundant number, since it is smaller than the sum of its proper divisors (1443307635).

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

1352561805 is a wasteful number, since it uses less digits than its factorization.

1352561805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186730 (or 186727 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1352561805 is about 36777.1913691081. The cubic root of 1352561805 is about 1105.9081019469.

The spelling of 1352561805 in words is "one billion, three hundred fifty-two million, five hundred sixty-one thousand, eight hundred five".