51955101 has 84 divisors (see below), whose sum is σ = 93036160. Its totient is φ = 28868400.

The previous prime is 51955097. The next prime is 51955117. The reversal of 51955101 is 10155915.

51955101 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 51955101 - 2² = 51955097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51955171) 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 83 ways as a sum of consecutive naturals, for example, 1675956 + ... + 1675986.

Almost surely, 2^51955101 is an apocalyptic number.

It is an amenable number.

51955101 is a deficient number, since it is larger than the sum of its proper divisors (41081059).

51955101 is a wasteful number, since it uses less digits than its factorization.

51955101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The square root of 51955101 is about 7207.9886931099. The cubic root of 51955101 is about 373.1436578130.

It can be divided in two parts, 5195 and 5101, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 51955101 in words is "fifty-one million, nine hundred fifty-five thousand, one hundred one".