1009050385225 has 9 divisors (see below), whose sum is σ = 1251228705703. Its totient is φ = 807236290120.

The previous prime is 1009050385207. The next prime is 1009050385261. The reversal of 1009050385225 is 5225830509001.

The square root of 1009050385225 is 1004515.

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., 363258138681 + 645792246544 = 602709^2 + 803612^2 .

It is not a de Polignac number, because 1009050385225 - 2¹⁷ = 1009050254153 is a prime.

It is a super-3 number, since 3×1009050385225³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4922124 + ... + 5123026.

Almost surely, 2^{1009050385225} is an apocalyptic number.

1009050385225 is the 1004515-th square number.

1009050385225 is the 502258-th centered octagonal number.

It is an amenable number.

1009050385225 is a deficient number, since it is larger than the sum of its proper divisors (242178320478).

1009050385225 is an frugal number, since it uses more digits than its factorization.

1009050385225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401816 (or 200908 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 1009050385225 in words is "one trillion, nine billion, fifty million, three hundred eighty-five thousand, two hundred twenty-five".