1382569763201 has 16 divisors (see below), whose sum is σ = 1519669536000. Its totient is φ = 1247378605200.

The previous prime is 1382569763171. The next prime is 1382569763221. The reversal of 1382569763201 is 1023679652831.

It is a happy number.

It is not a de Polignac number, because 1382569763201 - 2⁶ = 1382569763137 is a prime.

It is a super-2 number, since 2×1382569763201² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1382569763221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4010150 + ... + 4341248.

It is an arithmetic number, because the mean of its divisors is an integer number (94979346000).

Almost surely, 2^{1382569763201} is an apocalyptic number.

1382569763201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1382569763201 is a deficient number, since it is larger than the sum of its proper divisors (137099772799).

1382569763201 is a wasteful number, since it uses less digits than its factorization.

1382569763201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333980.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 1382569763201 in words is "one trillion, three hundred eighty-two billion, five hundred sixty-nine million, seven hundred sixty-three thousand, two hundred one".