53313633756 has 288 divisors, whose sum is σ = 153580795200. Its totient is φ = 15968171520.

The previous prime is 53313633733. The next prime is 53313633757. The reversal of 53313633756 is 65733631335.

53313633756 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 3 + 633 + 7 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53313633757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68969386 + ... + 68970158.

It is an arithmetic number, because the mean of its divisors is an integer number (533266650).

Almost surely, 2^53313633756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53313633756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76790397600).

53313633756 is an abundant number, since it is smaller than the sum of its proper divisors (100267161444).

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

53313633756 is a wasteful number, since it uses less digits than its factorization.

53313633756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its digits is 1530900, while the sum is 45.

The spelling of 53313633756 in words is "fifty-three billion, three hundred thirteen million, six hundred thirty-three thousand, seven hundred fifty-six".