126506009 has 32 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 97588800.

The previous prime is 126505991. The next prime is 126506011. The reversal of 126506009 is 900605621.

It is a Cunningham number, because it is equal to 502³+1.

It is a cyclic number.

It is not a de Polignac number, because 126506009 - 2¹⁶ = 126440473 is a prime.

It is a super-3 number, since 3×126506009³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126506069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251252 + ... + 251754.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^126506009 is an apocalyptic number.

126506009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

126506009 is a deficient number, since it is larger than the sum of its proper divisors (33483751).

126506009 is a wasteful number, since it uses less digits than its factorization.

126506009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 126506009 is about 11247.4890086632. The cubic root of 126506009 is about 502.0000013227. Note that the first 5 decimals are identical.

The spelling of 126506009 in words is "one hundred twenty-six million, five hundred six thousand, nine".