4635213521652 has 384 divisors, whose sum is σ = 14174423961600. Its totient is φ = 1298977852896.

The previous prime is 4635213521641. The next prime is 4635213521681. The reversal of 4635213521652 is 2561253125364.

4635213521652 is a `hidden beast` number, since 4 + 6 + 3 + 52 + 13 + 521 + 65 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4635213521598 and 4635213521607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33346859799 + ... + 33346859937.

It is an arithmetic number, because the mean of its divisors is an integer number (36912562400).

Almost surely, 2^{4635213521652} is an apocalyptic number.

4635213521652 is a gapful number since it is divisible by the number (42) 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 4635213521652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087211980800).

4635213521652 is an abundant number, since it is smaller than the sum of its proper divisors (9539210439948).

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

4635213521652 is an frugal number, since it uses more digits than its factorization.

4635213521652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 234 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 4635213521652 in words is "four trillion, six hundred thirty-five billion, two hundred thirteen million, five hundred twenty-one thousand, six hundred fifty-two".