905335407252 has 108 divisors (see below), whose sum is σ = 2431546187616. Its totient is φ = 283965584640.

The previous prime is 905335407199. The next prime is 905335407289. The reversal of 905335407252 is 252704533509.

905335407252 is a `hidden beast` number, since 9 + 0 + 5 + 33 + 540 + 72 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 905335407198 and 905335407207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87627727 + ... + 87638057.

It is an arithmetic number, because the mean of its divisors is an integer number (22514316552).

Almost surely, 2^905335407252 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 905335407252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215773093808).

905335407252 is an abundant number, since it is smaller than the sum of its proper divisors (1526210780364).

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

905335407252 is a wasteful number, since it uses less digits than its factorization.

905335407252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18798 (or 18776 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 905335407252 in words is "nine hundred five billion, three hundred thirty-five million, four hundred seven thousand, two hundred fifty-two".