10582505252 has 48 divisors (see below), whose sum is σ = 21095424000. Its totient is φ = 4598019360.

The previous prime is 10582505237. The next prime is 10582505267. The reversal of 10582505252 is 25250528501.

It is an interprime number because it is at equal distance from previous prime (10582505237) and next prime (10582505267).

It is a super-2 number, since 2×10582505252² (a number of 21 digits) contains 22 as substring.

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, 2202749 + ... + 2207547.

It is an arithmetic number, because the mean of its divisors is an integer number (439488000).

Almost surely, 2^10582505252 is an apocalyptic number.

It is an amenable number.

10582505252 is a deficient number, since it is larger than the sum of its proper divisors (10512918748).

10582505252 is a wasteful number, since it uses less digits than its factorization.

10582505252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 35.

The spelling of 10582505252 in words is "ten billion, five hundred eighty-two million, five hundred five thousand, two hundred fifty-two".