10165252561 has 4 divisors (see below), whose sum is σ = 10763208612. Its totient is φ = 9567296512.

The previous prime is 10165252519. The next prime is 10165252571. The reversal of 10165252561 is 16525256101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16525256101 = 3217 ⋅5136853.

It can be written as a sum of positive squares in 2 ways, for example, as 7042566400 + 3122686161 = 83920^2 + 55881^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165252561 - 2¹⁷ = 10165121489 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10165252571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298978000 + ... + 298978033.

It is an arithmetic number, because the mean of its divisors is an integer number (2690802153).

Almost surely, 2^10165252561 is an apocalyptic number.

It is an amenable number.

10165252561 is a deficient number, since it is larger than the sum of its proper divisors (597956051).

10165252561 is an equidigital number, since it uses as much as digits as its factorization.

10165252561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597956050.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10165252561 in words is "ten billion, one hundred sixty-five million, two hundred fifty-two thousand, five hundred sixty-one".