9407457121 has 2 divisors, whose sum is σ = 9407457122. Its totient is φ = 9407457120.

The previous prime is 9407457119. The next prime is 9407457151. The reversal of 9407457121 is 1217547049.

9407457121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5021706496 + 4385750625 = 70864^2 + 66225^2 .

It is a cyclic number.

It is not a de Polignac number, because 9407457121 - 2¹ = 9407457119 is a prime.

Together with 9407457119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9407457151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4703728560 + 4703728561.

It is an arithmetic number, because the mean of its divisors is an integer number (4703728561).

Almost surely, 2^9407457121 is an apocalyptic number.

It is an amenable number.

9407457121 is a deficient number, since it is larger than the sum of its proper divisors (1).

9407457121 is an equidigital number, since it uses as much as digits as its factorization.

9407457121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 9407457121 is about 96992.0466894064. The cubic root of 9407457121 is about 2111.0122290003.

The spelling of 9407457121 in words is "nine billion, four hundred seven million, four hundred fifty-seven thousand, one hundred twenty-one".