638516052 has 72 divisors (see below), whose sum is σ = 1753839360. Its totient is φ = 195125760.

The previous prime is 638516051. The next prime is 638516063. The reversal of 638516052 is 250615836.

638516052 is a `hidden beast` number, since 638 + 5 + 16 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 638515998 and 638516016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638516051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6148 + ... + 36260.

It is an arithmetic number, because the mean of its divisors is an integer number (24358880).

Almost surely, 2^638516052 is an apocalyptic number.

638516052 is a gapful number since it is divisible by the number (62) 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 638516052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876919680).

638516052 is an abundant number, since it is smaller than the sum of its proper divisors (1115323308).

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

638516052 is a wasteful number, since it uses less digits than its factorization.

638516052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30173 (or 30168 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 638516052 is about 25268.8751629351. The cubic root of 638516052 is about 861.1073045089.

The spelling of 638516052 in words is "six hundred thirty-eight million, five hundred sixteen thousand, fifty-two".