10552580 has 48 divisors (see below), whose sum is σ = 24068016. Its totient is φ = 3870720.

The previous prime is 10552579. The next prime is 10552603. The reversal of 10552580 is 8525501.

10552580 = T₅₉ + T₆₀ + ... + T₃₉₈.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 10329796 = 472^2 + 3214^2 .

It is a super-2 number, since 2×10552580² = 222713889312800, which contains 22 as substring.

It is a plaindrome in base 14.

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, 13562 + ... + 14318.

It is an arithmetic number, because the mean of its divisors is an integer number (501417).

Almost surely, 2^10552580 is an apocalyptic number.

10552580 is a gapful number since it is divisible by the number (10) 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 10552580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034008).

10552580 is an abundant number, since it is smaller than the sum of its proper divisors (13515436).

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

10552580 is a wasteful number, since it uses less digits than its factorization.

10552580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 10552580 is about 3248.4734876554. The cubic root of 10552580 is about 219.3408646221.

The spelling of 10552580 in words is "ten million, five hundred fifty-two thousand, five hundred eighty".