1009500458121 has 27 divisors (see below), whose sum is σ = 1539039533421. Its totient is φ = 637543066104.

The previous prime is 1009500458119. The next prime is 1009500458167. The reversal of 1009500458121 is 1218540059001.

The square root of 1009500458121 is 1004739.

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

1009500458121 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 50 + 0 + 4 + 581 + 21 = 666.

It is not a de Polignac number, because 1009500458121 - 2¹ = 1009500458119 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1009500458101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57261310 + ... + 57278936.

Almost surely, 2^{1009500458121} is an apocalyptic number.

1009500458121 is the 1004739-th square number.

1009500458121 is the 502370-th centered octagonal number.

It is an amenable number.

1009500458121 is a deficient number, since it is larger than the sum of its proper divisors (529539075300).

1009500458121 is an frugal number, since it uses more digits than its factorization.

1009500458121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35298 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 1009500458121 by its sum of digits (36), we get a square (36342016492356 = 6028434²).

The spelling of 1009500458121 in words is "one trillion, nine billion, five hundred million, four hundred fifty-eight thousand, one hundred twenty-one".