51126101 has 8 divisors (see below), whose sum is σ = 56957880. Its totient is φ = 45565632.

The previous prime is 51126029. The next prime is 51126121. The reversal of 51126101 is 10162115.

51126101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9006001 + 42120100 = 3001^2 + 6490^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51126101 - 2¹⁰ = 51125077 is a prime.

It is a super-2 number, since 2×51126101² = 5227756406924402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51126101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126121) 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 7 ways as a sum of consecutive naturals, for example, 67430 + ... + 68183.

It is an arithmetic number, because the mean of its divisors is an integer number (7119735).

Almost surely, 2^51126101 is an apocalyptic number.

It is an amenable number.

51126101 is a deficient number, since it is larger than the sum of its proper divisors (5831779).

51126101 is a wasteful number, since it uses less digits than its factorization.

51126101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135655.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 51126101 is about 7150.2518137475. The cubic root of 51126101 is about 371.1483702662.

Adding to 51126101 its reverse (10162115), we get a palindrome (61288216).

The spelling of 51126101 in words is "fifty-one million, one hundred twenty-six thousand, one hundred one".