10564846501 has 12 divisors (see below), whose sum is σ = 11620083916. Its totient is φ = 9598216320.

The previous prime is 10564846493. The next prime is 10564846517.

10564846501 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1738056100 + 8826790401 = 41690^2 + 93951^2 .

It is not a de Polignac number, because 10564846501 - 2³ = 10564846493 is a prime.

It is a super-2 number, since 2×10564846501² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564846561) 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 11 ways as a sum of consecutive naturals, for example, 165901 + ... + 220573.

Almost surely, 2^10564846501 is an apocalyptic number.

10564846501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10564846501 is a deficient number, since it is larger than the sum of its proper divisors (1055237415).

10564846501 is a wasteful number, since it uses less digits than its factorization.

10564846501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56292 (or 56281 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10564846501 in words is "ten billion, five hundred sixty-four million, eight hundred forty-six thousand, five hundred one".