1353256355304 has 160 divisors (see below), whose sum is σ = 4332396636480. Its totient is φ = 386596094976.

The previous prime is 1353256355257. The next prime is 1353256355383. The reversal of 1353256355304 is 4035536523531.

It is a happy number.

1353256355304 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 5 + 635 + 5 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1353256355304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52001304 + ... + 52027320.

It is an arithmetic number, because the mean of its divisors is an integer number (27077478978).

Almost surely, 2^{1353256355304} is an apocalyptic number.

1353256355304 is a gapful number since it is divisible by the number (14) 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 1353256355304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166198318240).

1353256355304 is an abundant number, since it is smaller than the sum of its proper divisors (2979140281176).

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

1353256355304 is a wasteful number, since it uses less digits than its factorization.

1353256355304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37509 (or 37496 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 1353256355304 in words is "one trillion, three hundred fifty-three billion, two hundred fifty-six million, three hundred fifty-five thousand, three hundred four".