610040601 has 9 divisors (see below), whose sum is σ = 881276799. Its totient is φ = 406644336.

The previous prime is 610040593. The next prime is 610040609. The reversal of 610040601 is 106040016.

The square root of 610040601 is 24699.

It is a perfect power (a square), and thus also a powerful number.

610040601 is a `hidden beast` number, since 61 + 0 + 0 + 4 + 0 + 601 = 666.

610040601 is nontrivially palindromic in base 7.

610040601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (610040593) and next prime (610040609).

It can be written as a sum of positive squares in only one way, i.e., 118265625 + 491774976 = 10875^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 610040601 - 2³ = 610040593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (610040609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69981 + ... + 78213.

Almost surely, 2^610040601 is an apocalyptic number.

610040601 is the 24699-th square number.

610040601 is the 12350-th centered octagonal number.

It is an amenable number.

610040601 is a deficient number, since it is larger than the sum of its proper divisors (271236198).

610040601 is an frugal number, since it uses more digits than its factorization.

610040601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 610040601 is about 848.1114245013. Note that the first 3 decimals are identical.

Multiplying 610040601 by its product of nonzero digits (144), we get a square (87845846544 = 296388²).

Adding to 610040601 its reverse (106040016), we get a palindrome (716080617).

The spelling of 610040601 in words is "six hundred ten million, forty thousand, six hundred one".