1352135531441 has 8 divisors (see below), whose sum is σ = 1445336815104. Its totient is φ = 1261801979680.

The previous prime is 1352135531431. The next prime is 1352135531443. The reversal of 1352135531441 is 1441355312531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1352135531441 - 2²⁶ = 1352068422577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1352135531395 and 1352135531404.

It is not an unprimeable number, because it can be changed into a prime (1352135531443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716932001 + ... + 716933886.

It is an arithmetic number, because the mean of its divisors is an integer number (180667101888).

Almost surely, 2^{1352135531441} is an apocalyptic number.

It is an amenable number.

1352135531441 is a deficient number, since it is larger than the sum of its proper divisors (93201283663).

1352135531441 is a wasteful number, since it uses less digits than its factorization.

1352135531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433865951.

The product of its digits is 108000, while the sum is 38.

The spelling of 1352135531441 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-five million, five hundred thirty-one thousand, four hundred forty-one".