1353355540 has 12 divisors (see below), whose sum is σ = 2842046676. Its totient is φ = 541342208.

The previous prime is 1353355537. The next prime is 1353355559. The reversal of 1353355540 is 455533531.

It can be written as a sum of positive squares in 2 ways, for example, as 825642756 + 527712784 = 28734^2 + 22972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1353355496 and 1353355505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33833869 + ... + 33833908.

It is an arithmetic number, because the mean of its divisors is an integer number (236837223).

Almost surely, 2^1353355540 is an apocalyptic number.

1353355540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353355540 is an abundant number, since it is smaller than the sum of its proper divisors (1488691136).

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

1353355540 is a wasteful number, since it uses less digits than its factorization.

1353355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67667786 (or 67667784 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The square root of 1353355540 is about 36787.9809176856. The cubic root of 1353355540 is about 1106.1243893682.

The spelling of 1353355540 in words is "one billion, three hundred fifty-three million, three hundred fifty-five thousand, five hundred forty".