1352545610013 has 24 divisors (see below), whose sum is σ = 2111447290680. Its totient is φ = 829373690880.

The previous prime is 1352545610011. The next prime is 1352545610029. The reversal of 1352545610013 is 3100165452531.

1352545610013 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 545 + 6 + 100 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178525685529 + 1174019924484 = 422523^2 + 1083522^2 .

It is not a de Polignac number, because 1352545610013 - 2¹ = 1352545610011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1352545610013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352545610011) 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 23 ways as a sum of consecutive naturals, for example, 20536908 + ... + 20602661.

It is an arithmetic number, because the mean of its divisors is an integer number (87976970445).

Almost surely, 2^{1352545610013} is an apocalyptic number.

1352545610013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1352545610013 is a deficient number, since it is larger than the sum of its proper divisors (758901680667).

1352545610013 is a wasteful number, since it uses less digits than its factorization.

1352545610013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41139869 (or 41139866 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1352545610013 in words is "one trillion, three hundred fifty-two billion, five hundred forty-five million, six hundred ten thousand, thirteen".