1018434180625 has 45 divisors (see below), whose sum is σ = 1309160474391. Its totient is φ = 792000540000.

The previous prime is 1018434180613. The next prime is 1018434180637. The reversal of 1018434180625 is 5260814348101.

The square root of 1018434180625 is 1009175.

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

1018434180625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1018434180613) and next prime (1018434180637).

It can be written as a sum of positive squares in 7 ways, for example, as 338145739009 + 680288441616 = 581503^2 + 824796^2 .

It is not a de Polignac number, because 1018434180625 - 2¹⁹ = 1018433656337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 933486330 + ... + 933487420.

Almost surely, 2^{1018434180625} is an apocalyptic number.

1018434180625 is the 1009175-th square number.

1018434180625 is the 504588-th centered octagonal number.

It is an amenable number.

1018434180625 is a deficient number, since it is larger than the sum of its proper divisors (290726293766).

1018434180625 is an frugal number, since it uses more digits than its factorization.

1018434180625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 1018434180625 in words is "one trillion, eighteen billion, four hundred thirty-four million, one hundred eighty thousand, six hundred twenty-five".