10611601 has 16 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 7632000.

The previous prime is 10611599. The next prime is 10611611.

10611601 is nontrivially palindromic in base 10.

10611601 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10611601 - 2¹ = 10611599 is a prime.

It is a super-2 number, since 2×10611601² = 225212151566402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10611611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4300 + ... + 6301.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^10611601 is an apocalyptic number.

10611601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10611601 is a deficient number, since it is larger than the sum of its proper divisors (3637487).

10611601 is a wasteful number, since it uses less digits than its factorization.

10611601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10611601 is about 3257.5452414356. The cubic root of 10611601 is about 219.7490319955.

It can be divided in two parts, 1061 and 1601, that added together give a palindrome (2662).

The spelling of 10611601 in words is "ten million, six hundred eleven thousand, six hundred one".