33253103033540 has 96 divisors (see below), whose sum is σ = 77430246853344. Its totient is φ = 11916136488960.

The previous prime is 33253103033473. The next prime is 33253103033561. The reversal of 33253103033540 is 4533030135233.

It can be written as a sum of positive squares in 16 ways, for example, as 7177598242816 + 26075504790724 = 2679104^2 + 5106418^2 .

It is a super-2 number, since 2×33253103033540² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33253103033540.

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, 534341 + ... + 8172620.

It is an arithmetic number, because the mean of its divisors is an integer number (806565071389).

Almost surely, 2^{33253103033540} 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 33253103033540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38715123426672).

33253103033540 is an abundant number, since it is smaller than the sum of its proper divisors (44177143819804).

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

33253103033540 is a wasteful number, since it uses less digits than its factorization.

33253103033540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707417 (or 8707415 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 35.

Adding to 33253103033540 its reverse (4533030135233), we get a palindrome (37786133168773).

The spelling of 33253103033540 in words is "thirty-three trillion, two hundred fifty-three billion, one hundred three million, thirty-three thousand, five hundred forty".