47520101 has 2 divisors, whose sum is σ = 47520102. Its totient is φ = 47520100.

The previous prime is 47520079. The next prime is 47520103. The reversal of 47520101 is 10102574.

47520101 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., 47128225 + 391876 = 6865^2 + 626^2 .

It is a cyclic number.

It is not a de Polignac number, because 47520101 - 2¹⁸ = 47257957 is a prime.

Together with 47520103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47520103) 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, 23760050 + 23760051.

It is an arithmetic number, because the mean of its divisors is an integer number (23760051).

Almost surely, 2^47520101 is an apocalyptic number.

It is an amenable number.

47520101 is a deficient number, since it is larger than the sum of its proper divisors (1).

47520101 is an equidigital number, since it uses as much as digits as its factorization.

47520101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 47520101 is about 6893.4825016098. The cubic root of 47520101 is about 362.2089008230.

Adding to 47520101 its reverse (10102574), we get a palindrome (57622675).

The spelling of 47520101 in words is "forty-seven million, five hundred twenty thousand, one hundred one".