1355032065504 has 144 divisors (see below), whose sum is σ = 3885708888432. Its totient is φ = 413242712064.

The previous prime is 1355032065479. The next prime is 1355032065523. The reversal of 1355032065504 is 4055602305531.

It is a super-2 number, since 2×1355032065504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1463754 + ... + 2202870.

It is an arithmetic number, because the mean of its divisors is an integer number (26984089503).

Almost surely, 2^{1355032065504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355032065504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942854444216).

1355032065504 is an abundant number, since it is smaller than the sum of its proper divisors (2530676822928).

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

1355032065504 is a wasteful number, since it uses less digits than its factorization.

1355032065504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739269 (or 739248 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 1355032065504 in words is "one trillion, three hundred fifty-five billion, thirty-two million, sixty-five thousand, five hundred four".