1018514916225 has 135 divisors (see below), whose sum is σ = 1937321397561. Its totient is φ = 528990134400.

The previous prime is 1018514916169. The next prime is 1018514916229. The reversal of 1018514916225 is 5226194158101.

The square root of 1018514916225 is 1009215.

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

1018514916225 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 5 + 14 + 9 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 428709348081 + 589805568144 = 654759^2 + 767988^2 .

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

It is not a de Polignac number, because 1018514916225 - 2¹⁷ = 1018514785153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1018514916229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1862001402 + ... + 1862001948.

Almost surely, 2^{1018514916225} is an apocalyptic number.

1018514916225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1018514916225 is the 1009215-th square number.

1018514916225 is the 504608-th centered octagonal number.

It is an amenable number.

1018514916225 is a deficient number, since it is larger than the sum of its proper divisors (918806481336).

1018514916225 is an frugal number, since it uses more digits than its factorization.

1018514916225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1018514916225 in words is "one trillion, eighteen billion, five hundred fourteen million, nine hundred sixteen thousand, two hundred twenty-five".