10552080013 has 8 divisors (see below), whose sum is σ = 11173914360. Its totient is φ = 9930370560.

The previous prime is 10552079927. The next prime is 10552080017. The reversal of 10552080013 is 31008025501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1096073449 + 9456006564 = 33107^2 + 97242^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10552080013 - 2⁹ = 10552079501 is a prime.

It is a super-2 number, since 2×10552080013² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10552080013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552080017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185943 + ... + 235963.

It is an arithmetic number, because the mean of its divisors is an integer number (1396739295).

Almost surely, 2^10552080013 is an apocalyptic number.

It is an amenable number.

10552080013 is a deficient number, since it is larger than the sum of its proper divisors (621834347).

10552080013 is a wasteful number, since it uses less digits than its factorization.

10552080013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62447.

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 10552080013 in words is "ten billion, five hundred fifty-two million, eighty thousand, thirteen".