4252083264 has 567 divisors, whose sum is σ = 15309985509. Its totient is φ = 1126794240.

The previous prime is 4252083257. The next prime is 4252083343. The reversal of 4252083264 is 4623802524.

The square root of 4252083264 is 65208.

It is a perfect power (a square), and thus also a powerful number.

4252083264 is a `hidden beast` number, since 42 + 520 + 8 + 32 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 629006400 + 3623076864 = 25080^2 + 60192^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 223793847 + ... + 223793865.

Almost surely, 2^4252083264 is an apocalyptic number.

4252083264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4252083264 is the 65208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252083264

4252083264 is an abundant number, since it is smaller than the sum of its proper divisors (11057902245).

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

4252083264 is a wasteful number, since it uses less digits than its factorization.

4252083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 4252083264 is about 1620.0705227644.

Multiplying 4252083264 by its sum of digits (36), we get a square (153074997504 = 391248²).

4252083264 divided by its sum of digits (36) gives a square (118113424 = 10868²).

Adding to 4252083264 its reverse (4623802524), we get a palindrome (8875885788).

The spelling of 4252083264 in words is "four billion, two hundred fifty-two million, eighty-three thousand, two hundred sixty-four".