10506552661 has 8 divisors (see below), whose sum is σ = 11503075104. Its totient is φ = 9516927120.

The previous prime is 10506552659. The next prime is 10506552677. The reversal of 10506552661 is 16625560501.

10506552661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10506552661 - 2¹ = 10506552659 is a prime.

It is a super-2 number, since 2×10506552661² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506552661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506552601) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1721035 + ... + 1727128.

It is an arithmetic number, because the mean of its divisors is an integer number (1437884388).

Almost surely, 2^10506552661 is an apocalyptic number.

10506552661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10506552661 is a deficient number, since it is larger than the sum of its proper divisors (996522443).

10506552661 is a wasteful number, since it uses less digits than its factorization.

10506552661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448451.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 10506552661 in words is "ten billion, five hundred six million, five hundred fifty-two thousand, six hundred sixty-one".