1965536505 has 24 divisors (see below), whose sum is σ = 3438194760. Its totient is φ = 1038666240.

The previous prime is 1965536501. The next prime is 1965536513. The reversal of 1965536505 is 5056355691.

It is a happy number.

1965536505 is a `hidden beast` number, since 1 + 9 + 65 + 536 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 1881043641 = 9192^2 + 43371^2 .

It is not a de Polignac number, because 1965536505 - 2² = 1965536501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1965536501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195456 + ... + 205265.

It is an arithmetic number, because the mean of its divisors is an integer number (143258115).

Almost surely, 2^1965536505 is an apocalyptic number.

1965536505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1965536505 is a deficient number, since it is larger than the sum of its proper divisors (1472658255).

1965536505 is a wasteful number, since it uses less digits than its factorization.

1965536505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400841 (or 400838 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 1965536505 is about 44334.3715981179. The cubic root of 1965536505 is about 1252.6421988265.

The spelling of 1965536505 in words is "one billion, nine hundred sixty-five million, five hundred thirty-six thousand, five hundred five".