53128960417 has 32 divisors (see below), whose sum is σ = 59155238912. Its totient is φ = 47405481984.

The previous prime is 53128960403. The next prime is 53128960459. The reversal of 53128960417 is 71406982135.

It is a 5-Lehmer number, since φ(53128960417) divides (53128960417-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 53128960417 - 2¹¹ = 53128958369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53128960477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40962313 + ... + 40963609.

It is an arithmetic number, because the mean of its divisors is an integer number (1848601216).

It is a 2-persistent number, because it is pandigital, and so is 2⋅53128960417 = 106257920834, but 3⋅53128960417 = 159386881251 is not.

Almost surely, 2^53128960417 is an apocalyptic number.

It is an amenable number.

53128960417 is a deficient number, since it is larger than the sum of its proper divisors (6026278495).

53128960417 is a wasteful number, since it uses less digits than its factorization.

53128960417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 53128960417 in words is "fifty-three billion, one hundred twenty-eight million, nine hundred sixty thousand, four hundred seventeen".