506541000000 has 392 divisors, whose sum is σ = 1914659242048. Its totient is φ = 115776000000.

The previous prime is 506540999983. The next prime is 506541000001. The reversal of 506541000000 is 145605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506541000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20987940 + ... + 21012060.

Almost surely, 2^506541000000 is an apocalyptic number.

506541000000 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 506541000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957329621024).

506541000000 is an abundant number, since it is smaller than the sum of its proper divisors (1408118242048).

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

506541000000 is an frugal number, since it uses more digits than its factorization.

506541000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24173 (or 24138 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 506541000000 its reverse (145605), we get a palindrome (506541145605).

The spelling of 506541000000 in words is "five hundred six billion, five hundred forty-one million", and thus it is an aban number.