5432512100625 has 135 divisors (see below), whose sum is σ = 10191037412413. Its totient is φ = 2894822550000.

The previous prime is 5432512100591. The next prime is 5432512100663. The reversal of 5432512100625 is 5260012152345.

The square root of 5432512100625 is 2330775.

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

5432512100625 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 5 + 1 + 21 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425908948689 + 5006603151936 = 652617^2 + 2237544^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-5432512100625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5432512100625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4719818800 + ... + 4719819950.

Almost surely, 2^{5432512100625} is an apocalyptic number.

5432512100625 is the 2330775-th square number.

5432512100625 is the 1165388-th centered octagonal number.

It is an amenable number.

5432512100625 is a deficient number, since it is larger than the sum of its proper divisors (4758525311788).

5432512100625 is an frugal number, since it uses more digits than its factorization.

5432512100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 5432512100625 by its sum of digits (36), we get a square (195570435622500 = 13984650²).

It can be divided in two parts, 543251 and 2100625, that added together give a square (2643876 = 1626²).

The spelling of 5432512100625 in words is "five trillion, four hundred thirty-two billion, five hundred twelve million, one hundred thousand, six hundred twenty-five".