505099152 has 100 divisors (see below), whose sum is σ = 1475268300. Its totient is φ = 166828032.

The previous prime is 505099141. The next prime is 505099181. The reversal of 505099152 is 251990505.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 499790736 = 2304^2 + 22356^2 .

It is a super-2 number, since 2×505099152² = 510250306702238208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144724 + ... + 148172.

It is an arithmetic number, because the mean of its divisors is an integer number (14752683).

Almost surely, 2^505099152 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 505099152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737634150).

505099152 is an abundant number, since it is smaller than the sum of its proper divisors (970169148).

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

505099152 is a wasteful number, since it uses less digits than its factorization.

505099152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 505099152 is about 22474.4110490131. The cubic root of 505099152 is about 796.3895385560.

The spelling of 505099152 in words is "five hundred five million, ninety-nine thousand, one hundred fifty-two".