65625107121 has 64 divisors (see below), whose sum is σ = 116187955200. Its totient is φ = 35793603648.

The previous prime is 65625107111. The next prime is 65625107131. The reversal of 65625107121 is 12170152656.

65625107121 is a `hidden beast` number, since 6 + 5 + 625 + 1 + 0 + 7 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (65625107111) and next prime (65625107131).

It is not a de Polignac number, because 65625107121 - 2¹⁷ = 65624976049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65625107111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066455 + ... + 2097971.

It is an arithmetic number, because the mean of its divisors is an integer number (1815436800).

Almost surely, 2^65625107121 is an apocalyptic number.

It is an amenable number.

65625107121 is a deficient number, since it is larger than the sum of its proper divisors (50562848079).

65625107121 is a wasteful number, since it uses less digits than its factorization.

65625107121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32035 (or 32029 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 65625107121 its reverse (12170152656), we get a palindrome (77795259777).

The spelling of 65625107121 in words is "sixty-five billion, six hundred twenty-five million, one hundred seven thousand, one hundred twenty-one".