506263632 has 80 divisors (see below), whose sum is σ = 1522938240. Its totient is φ = 141912576.

The previous prime is 506263627. The next prime is 506263657. The reversal of 506263632 is 236362605.

It is a junction number, because it is equal to n+sod(n) for n = 506263593 and 506263602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594 + ... + 32022.

It is an arithmetic number, because the mean of its divisors is an integer number (19036728).

Almost surely, 2^506263632 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 506263632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761469120).

506263632 is an abundant number, since it is smaller than the sum of its proper divisors (1016674608).

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

506263632 is a wasteful number, since it uses less digits than its factorization.

506263632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28500 (or 28494 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 506263632 is about 22500.3029312941. The cubic root of 506263632 is about 797.0010804828.

The spelling of 506263632 in words is "five hundred six million, two hundred sixty-three thousand, six hundred thirty-two".