35313325056 has 440 divisors, whose sum is σ = 111548317320. Its totient is φ = 11110514688.

The previous prime is 35313325039. The next prime is 35313325081. The reversal of 35313325056 is 65052331353.

35313325056 is a `hidden beast` number, since 353 + 1 + 3 + 3 + 250 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3941830656 + 31371494400 = 62784^2 + 177120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35313325056.

It is a congruent number.

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, 127484790 + ... + 127485066.

It is an arithmetic number, because the mean of its divisors is an integer number (253518903).

Almost surely, 2^35313325056 is an apocalyptic number.

35313325056 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 35313325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55774158660).

35313325056 is an abundant number, since it is smaller than the sum of its proper divisors (76234992264).

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

35313325056 is a wasteful number, since it uses less digits than its factorization.

35313325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The spelling of 35313325056 in words is "thirty-five billion, three hundred thirteen million, three hundred twenty-five thousand, fifty-six".