1018393814025 has 135 divisors (see below), whose sum is σ = 2129490245909. Its totient is φ = 465212381760.

The previous prime is 1018393813991. The next prime is 1018393814027. The reversal of 1018393814025 is 5204183938101.

The square root of 1018393814025 is 1009155.

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

1018393814025 is a `hidden beast` number, since 1 + 0 + 1 + 83 + 93 + 81 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265164233481 + 753229580544 = 514941^2 + 867888^2 .

It is not a de Polignac number, because 1018393814025 - 2¹⁵ = 1018393781257 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1018393814027) 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, 741728239 + ... + 741729611.

Almost surely, 2^{1018393814025} is an apocalyptic number.

1018393814025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1018393814025 is the 1009155-th square number.

1018393814025 is the 504578-th centered octagonal number.

It is an amenable number.

1018393814025 is an abundant number, since it is smaller than the sum of its proper divisors (1111096431884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1018393814025 is an frugal number, since it uses more digits than its factorization.

1018393814025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1018393814025 in words is "one trillion, eighteen billion, three hundred ninety-three million, eight hundred fourteen thousand, twenty-five".