1353409480752 has 120 divisors (see below), whose sum is σ = 4105144950336. Its totient is φ = 383074441344.

The previous prime is 1353409480747. The next prime is 1353409480897. The reversal of 1353409480752 is 2570849043531.

It is a junction number, because it is equal to n+sod(n) for n = 1353409480695 and 1353409480704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2437258 + ... + 2940585.

Almost surely, 2^{1353409480752} is an apocalyptic number.

1353409480752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353409480752 is an abundant number, since it is smaller than the sum of its proper divisors (2751735469584).

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

1353409480752 is a wasteful number, since it uses less digits than its factorization.

1353409480752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377975 (or 5377962 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 1353409480752 in words is "one trillion, three hundred fifty-three billion, four hundred nine million, four hundred eighty thousand, seven hundred fifty-two".