506421301100 has 576 divisors, whose sum is σ = 1411109683200. Its totient is φ = 154906214400.

The previous prime is 506421301069. The next prime is 506421301103. The reversal of 506421301100 is 1103124605.

It is a super-2 number, since 2×506421301100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506421301103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1451063726 + ... + 1451064074.

It is an arithmetic number, because the mean of its divisors is an integer number (2449843200).

Almost surely, 2^506421301100 is an apocalyptic number.

506421301100 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 506421301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705554841600).

506421301100 is an abundant number, since it is smaller than the sum of its proper divisors (904688382100).

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

506421301100 is a wasteful number, since it uses less digits than its factorization.

506421301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 506421301100 its reverse (1103124605), we get a palindrome (507524425705).

The spelling of 506421301100 in words is "five hundred six billion, four hundred twenty-one million, three hundred one thousand, one hundred".