1040256009 has 27 divisors (see below), whose sum is σ = 1629036903. Its totient is φ = 639383472.

The previous prime is 1040256001. The next prime is 1040256011. The reversal of 1040256009 is 9006520401.

The square root of 1040256009 is 32253.

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

1040256009 is a `hidden beast` number, since 10 + 40 + 2 + 5 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153884025 + 886371984 = 12405^2 + 29772^2 .

It is not a de Polignac number, because 1040256009 - 2³ = 1040256001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040256001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1257454 + ... + 1258280.

Almost surely, 2^1040256009 is an apocalyptic number.

1040256009 is the 32253-rd square number.

1040256009 is the 16127-th centered octagonal number.

It is an amenable number.

1040256009 is a deficient number, since it is larger than the sum of its proper divisors (588780894).

1040256009 is an frugal number, since it uses more digits than its factorization.

1040256009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1040256009 is about 1013.2425309502.

It can be divided in two parts, 1040 and 256009, that added together give a square (257049 = 507²).

The spelling of 1040256009 in words is "one billion, forty million, two hundred fifty-six thousand, nine".