505006101500 has 384 divisors, whose sum is σ = 1235025792000. Its totient is φ = 179625600000.

The previous prime is 505006101499. The next prime is 505006101541. The reversal of 505006101500 is 5101600505.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2011976375 + ... + 2011976625.

It is an arithmetic number, because the mean of its divisors is an integer number (3216213000).

Almost surely, 2^505006101500 is an apocalyptic number.

505006101500 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 505006101500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617512896000).

505006101500 is an abundant number, since it is smaller than the sum of its proper divisors (730019690500).

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

505006101500 is a wasteful number, since it uses less digits than its factorization.

505006101500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 505006101500 in words is "five hundred five billion, six million, one hundred one thousand, five hundred".