1041287589225 has 81 divisors (see below), whose sum is σ = 2019949931727. Its totient is φ = 512535928320.

The previous prime is 1041287589187. The next prime is 1041287589233. The reversal of 1041287589225 is 5229857821401.

It is a happy number.

The square root of 1041287589225 is 1020435.

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

1041287589225 is a `hidden beast` number, since 10 + 4 + 1 + 28 + 7 + 589 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 459289488681 + 581998100544 = 677709^2 + 762888^2 .

It is not a de Polignac number, because 1041287589225 - 2³⁵ = 1006927850857 is a prime.

It is a super-2 number, since 2×1041287589225² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 198982209 + ... + 198987441.

Almost surely, 2^{1041287589225} is an apocalyptic number.

1041287589225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1041287589225 is the 1020435-th square number.

1041287589225 is the 510218-th centered octagonal number.

It is an amenable number.

1041287589225 is a deficient number, since it is larger than the sum of its proper divisors (978662342502).

1041287589225 is an frugal number, since it uses more digits than its factorization.

1041287589225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1041287589225 in words is "one trillion, forty-one billion, two hundred eighty-seven million, five hundred eighty-nine thousand, two hundred twenty-five".