24413125009 has 81 divisors (see below), whose sum is σ = 32993472051. Its totient is φ = 17999654400.

The previous prime is 24413125003. The next prime is 24413125019. The reversal of 24413125009 is 90052131442.

The square root of 24413125009 is 156247.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2056894609 + 22356230400 = 45353^2 + 149520^2 .

It is not a de Polignac number, because 24413125009 - 2⁹ = 24413124497 is a prime.

It is a super-2 number, since 2×24413125009² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24413125003) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 241714059 + ... + 241714159.

Almost surely, 2^24413125009 is an apocalyptic number.

24413125009 is the 156247-th square number.

24413125009 is the 78124-th centered octagonal number.

It is an amenable number.

24413125009 is a deficient number, since it is larger than the sum of its proper divisors (8580347042).

24413125009 is a wasteful number, since it uses less digits than its factorization.

24413125009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 24413125009 in words is "twenty-four billion, four hundred thirteen million, one hundred twenty-five thousand, nine".