502952112 has 180 divisors, whose sum is σ = 1582313160. Its totient is φ = 152889984.

The previous prime is 502952111. The next prime is 502952117. The reversal of 502952112 is 211259205.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×502952112³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (502952111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6059623 + ... + 6059705.

Almost surely, 2^502952112 is an apocalyptic number.

502952112 is a gapful number since it is divisible by the number (52) 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 502952112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791156580).

502952112 is an abundant number, since it is smaller than the sum of its proper divisors (1079361048).

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

502952112 is a wasteful number, since it uses less digits than its factorization.

502952112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 502952112 is about 22426.5938564018. The cubic root of 502952112 is about 795.2595236722.

Multiplying 502952112 by its sum of digits (27), we get a square (13579707024 = 116532²).

502952112 divided by its sum of digits (27) gives a square (18627856 = 4316²).

The spelling of 502952112 in words is "five hundred two million, nine hundred fifty-two thousand, one hundred twelve".