1009231206025 has 27 divisors (see below), whose sum is σ = 1455815243271. Its totient is φ = 692020145040.

The previous prime is 1009231206017. The next prime is 1009231206037. The reversal of 1009231206025 is 5206021329001.

The square root of 1009231206025 is 1004605.

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

It can be written as a sum of positive squares in only one way, i.e., 363323234169 + 645907971856 = 602763^2 + 803684^2 .

It is not a de Polignac number, because 1009231206025 - 2³ = 1009231206017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35146824 + ... + 35175526.

Almost surely, 2^{1009231206025} is an apocalyptic number.

1009231206025 is the 1004605-th square number.

1009231206025 is the 502303-rd centered octagonal number.

It is an amenable number.

1009231206025 is a deficient number, since it is larger than the sum of its proper divisors (446584037246).

1009231206025 is an frugal number, since it uses more digits than its factorization.

1009231206025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57430 (or 28715 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 1009231206025 in words is "one trillion, nine billion, two hundred thirty-one million, two hundred six thousand, twenty-five".