507552 has 48 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 158720.

The previous prime is 507523. The next prime is 507557. The reversal of 507552 is 255705.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (507557) by changing a digit.

507552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁵⁰⁷⁵⁵² 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 507552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

507552 is an abundant number, since it is smaller than the sum of its proper divisors (907680).

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

507552 is a wasteful number, since it uses less digits than its factorization.

507552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 507552 is about 712.4268383490. The cubic root of 507552 is about 79.7676592085.

Subtracting from 507552 its sum of digits (24), we obtain a triangular number (507528 = T₁₀₀₇).

The spelling of 507552 in words is "five hundred seven thousand, five hundred fifty-two".