5303135252100 has 288 divisors, whose sum is σ = 18442915577856. Its totient is φ = 1150910092800.

The previous prime is 5303135252089. The next prime is 5303135252101. The reversal of 5303135252100 is 12525313035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5303135252101) 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, 2681797 + ... + 4218803.

It is an arithmetic number, because the mean of its divisors is an integer number (64037901312).

Almost surely, 2^{5303135252100} is an apocalyptic number.

5303135252100 is a gapful number since it is divisible by the number (50) 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 5303135252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221457788928).

5303135252100 is an abundant number, since it is smaller than the sum of its proper divisors (13139780325756).

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

5303135252100 is a wasteful number, since it uses less digits than its factorization.

5303135252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537115 (or 1537108 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 5303135252100 in words is "five trillion, three hundred three billion, one hundred thirty-five million, two hundred fifty-two thousand, one hundred".