505311532000 has 192 divisors, whose sum is σ = 1398113353728. Its totient is φ = 177821760000.

The previous prime is 505311531943. The next prime is 505311532079. The reversal of 505311532000 is 235113505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178769 + ... + 1549231.

It is an arithmetic number, because the mean of its divisors is an integer number (7281840384).

Almost surely, 2^505311532000 is an apocalyptic number.

505311532000 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 505311532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699056676864).

505311532000 is an abundant number, since it is smaller than the sum of its proper divisors (892801821728).

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

505311532000 is a wasteful number, since it uses less digits than its factorization.

505311532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370530 (or 370512 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 505311532000 its reverse (235113505), we get a palindrome (505546645505).

The spelling of 505311532000 in words is "five hundred five billion, three hundred eleven million, five hundred thirty-two thousand".