3533125136256 has 256 divisors, whose sum is σ = 11071168128000. Its totient is φ = 1105404420096.

The previous prime is 3533125136213. The next prime is 3533125136347. The reversal of 3533125136256 is 6526315213353.

It is a happy number.

3533125136256 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 1 + 2 + 5 + 13 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21480055 + ... + 21643913.

It is an arithmetic number, because the mean of its divisors is an integer number (43246750500).

Almost surely, 2^{3533125136256} is an apocalyptic number.

3533125136256 is a gapful number since it is divisible by the number (36) 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 3533125136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535584064000).

3533125136256 is an abundant number, since it is smaller than the sum of its proper divisors (7538042991744).

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

3533125136256 is a wasteful number, since it uses less digits than its factorization.

3533125136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164266 (or 164248 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 3533125136256 in words is "three trillion, five hundred thirty-three billion, one hundred twenty-five million, one hundred thirty-six thousand, two hundred fifty-six".