51972601 has 2 divisors, whose sum is σ = 51972602. Its totient is φ = 51972600.

The previous prime is 51972593. The next prime is 51972607. The reversal of 51972601 is 10627915.

51972601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46566976 + 5405625 = 6824^2 + 2325^2 .

It is a cyclic number.

It is not a de Polignac number, because 51972601 - 2³ = 51972593 is a prime.

It is not a weakly prime, because it can be changed into another prime (51972607) 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 as a sum of consecutive naturals, namely, 25986300 + 25986301.

It is an arithmetic number, because the mean of its divisors is an integer number (25986301).

Almost surely, 2^51972601 is an apocalyptic number.

51972601 is the 4560-th centered pentagonal number.

It is an amenable number.

51972601 is a deficient number, since it is larger than the sum of its proper divisors (1).

51972601 is an equidigital number, since it uses as much as digits as its factorization.

51972601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 51972601 is about 7209.2025217773. The cubic root of 51972601 is about 373.1855483483.

The spelling of 51972601 in words is "fifty-one million, nine hundred seventy-two thousand, six hundred one".