520153313031300 has 288 divisors, whose sum is σ = 1632502797133824. Its totient is φ = 127112155200000.

The previous prime is 520153313031269. The next prime is 520153313031301. The reversal of 520153313031300 is 3130313351025.

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 (520153313031301) 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, 299656885 + ... + 301387715.

It is an arithmetic number, because the mean of its divisors is an integer number (5668412490048).

Almost surely, 2^{520153313031300} is an apocalyptic number.

520153313031300 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 520153313031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816251398566912).

520153313031300 is an abundant number, since it is smaller than the sum of its proper divisors (1112349484102524).

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

520153313031300 is a wasteful number, since it uses less digits than its factorization.

520153313031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731419 (or 1731412 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 520153313031300 its reverse (3130313351025), we get a palindrome (523283626382325).

The spelling of 520153313031300 in words is "five hundred twenty trillion, one hundred fifty-three billion, three hundred thirteen million, thirty-one thousand, three hundred".