10553919 has 16 divisors (see below), whose sum is σ = 14613504. Its totient is φ = 6768000.

The previous prime is 10553903. The next prime is 10553947. The reversal of 10553919 is 91935501.

It is not a de Polignac number, because 10553919 - 2⁴ = 10553903 is a prime.

It is a super-3 number, since 3×10553919³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10553919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26119 + ... + 26519.

It is an arithmetic number, because the mean of its divisors is an integer number (913344).

Almost surely, 2^10553919 is an apocalyptic number.

10553919 is a deficient number, since it is larger than the sum of its proper divisors (4059585).

10553919 is a wasteful number, since it uses less digits than its factorization.

10553919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718.

The product of its (nonzero) digits is 6075, while the sum is 33.

The square root of 10553919 is about 3248.6795779209. The cubic root of 10553919 is about 219.3501415003.

The spelling of 10553919 in words is "ten million, five hundred fifty-three thousand, nine hundred nineteen".