5261006652 has 96 divisors (see below), whose sum is σ = 13848576000. Its totient is φ = 1540036800.

The previous prime is 5261006633. The next prime is 5261006689. The reversal of 5261006652 is 2566001625.

It is a happy number.

It is a super-4 number, since 4×5261006652⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759849 + ... + 3761247.

It is an arithmetic number, because the mean of its divisors is an integer number (144256000).

Almost surely, 2^5261006652 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 5261006652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924288000).

5261006652 is an abundant number, since it is smaller than the sum of its proper divisors (8587569348).

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

5261006652 is a wasteful number, since it uses less digits than its factorization.

5261006652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5261006652 is about 72532.7970782873. The cubic root of 5261006652 is about 1739.2270592591.

The spelling of 5261006652 in words is "five billion, two hundred sixty-one million, six thousand, six hundred fifty-two".