51106601 has 16 divisors (see below), whose sum is σ = 63705600. Its totient is φ = 39918528.

The previous prime is 51106579. The next prime is 51106603. The reversal of 51106601 is 10660115.

It is a happy number.

51106601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51106601 - 2¹⁴ = 51090217 is a prime.

It is a super-2 number, since 2×51106601² = 5223769331546402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51106603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3635 + ... + 10743.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2^51106601 is an apocalyptic number.

It is an amenable number.

51106601 is a deficient number, since it is larger than the sum of its proper divisors (12598999).

51106601 is a wasteful number, since it uses less digits than its factorization.

51106601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 51106601 is about 7148.8880953614. Note that the first 3 decimals coincide. The cubic root of 51106601 is about 371.1011777142.

Adding to 51106601 its reverse (10660115), we get a palindrome (61766716).

It can be divided in two parts, 5110 and 6601, that added together give a palindrome (11711).

The spelling of 51106601 in words is "fifty-one million, one hundred six thousand, six hundred one".