128516118885025 has 9 divisors (see below), whose sum is σ = 159360057703731. Its totient is φ = 102812849762040.

The previous prime is 128516118885019. The next prime is 128516118885047. The reversal of 128516118885025 is 520588811615821.

It is a happy number.

The square root of 128516118885025 is 11336495.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46265802798609 + 82250316086416 = 6801897^2 + 9069196^2 .

It is not a de Polignac number, because 128516118885025 - 2³ = 128516118885017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55548826 + ... + 57816124.

Almost surely, 2^{128516118885025} is an apocalyptic number.

128516118885025 is the 11336495-th square number.

128516118885025 is the 5668248-th centered octagonal number.

It is an amenable number.

128516118885025 is a deficient number, since it is larger than the sum of its proper divisors (30843938818706).

128516118885025 is an frugal number, since it uses more digits than its factorization.

128516118885025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534608 (or 2267304 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 61.

The spelling of 128516118885025 in words is "one hundred twenty-eight trillion, five hundred sixteen billion, one hundred eighteen million, eight hundred eighty-five thousand, twenty-five".