505532500 has 120 divisors (see below), whose sum is σ = 1247000832. Its totient is φ = 177600000.

The previous prime is 505532491. The next prime is 505532509. The reversal of 505532500 is 5235505.

It is an interprime number because it is at equal distance from previous prime (505532491) and next prime (505532509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505532509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 852204 + ... + 852796.

Almost surely, 2^505532500 is an apocalyptic number.

505532500 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 505532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623500416).

505532500 is an abundant number, since it is smaller than the sum of its proper divisors (741468332).

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

505532500 is a wasteful number, since it uses less digits than its factorization.

505532500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 25.

The square root of 505532500 is about 22484.0499020973. The cubic root of 505532500 is about 796.6172266334.

The spelling of 505532500 in words is "five hundred five million, five hundred thirty-two thousand, five hundred".