1353080508912 has 480 divisors, whose sum is σ = 4558340247552. Its totient is φ = 370275840000.

The previous prime is 1353080508911. The next prime is 1353080508929. The reversal of 1353080508912 is 2198050803531.

1353080508912 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 8 + 0 + 508 + 91 + 2 = 666.

It is a super-2 number, since 2×1353080508912² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353080508911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46290462 + ... + 46319682.

Almost surely, 2^{1353080508912} is an apocalyptic number.

1353080508912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353080508912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279170123776).

1353080508912 is an abundant number, since it is smaller than the sum of its proper divisors (3205259738640).

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

1353080508912 is a wasteful number, since it uses less digits than its factorization.

1353080508912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29341 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1353080508912 in words is "one trillion, three hundred fifty-three billion, eighty million, five hundred eight thousand, nine hundred twelve".