505325088 has 192 divisors, whose sum is σ = 1567641600. Its totient is φ = 158019840.

The previous prime is 505325081. The next prime is 505325113. The reversal of 505325088 is 880523505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (505325081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172233 + ... + 1172663.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^505325088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505325088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

505325088 is an abundant number, since it is smaller than the sum of its proper divisors (1062316512).

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

505325088 is a wasteful number, since it uses less digits than its factorization.

505325088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 505325088 is about 22479.4370036262. The cubic root of 505325088 is about 796.5082652417.

The spelling of 505325088 in words is "five hundred five million, three hundred twenty-five thousand, eighty-eight".