10009006501 has 8 divisors (see below), whose sum is σ = 10812937464. Its totient is φ = 9209933760.

The previous prime is 10009006481. The next prime is 10009006507. The reversal of 10009006501 is 10560090001.

It can be written as a sum of positive squares in 4 ways, for example, as 193349025 + 9815657476 = 13905^2 + 99074^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10009006501 - 2²⁷ = 9874788773 is a prime.

It is a super-2 number, since 2×10009006501² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009006507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210270 + ... + 1218511.

It is an arithmetic number, because the mean of its divisors is an integer number (1351617183).

Almost surely, 2^10009006501 is an apocalyptic number.

It is an amenable number.

10009006501 is a deficient number, since it is larger than the sum of its proper divisors (803930963).

10009006501 is a wasteful number, since it uses less digits than its factorization.

10009006501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429111.

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 10009006501 its reverse (10560090001), we get a palindrome (20569096502).

The spelling of 10009006501 in words is "ten billion, nine million, six thousand, five hundred one".