10007687601 has 6 divisors (see below), whose sum is σ = 14455548770. Its totient is φ = 6671791728.

The previous prime is 10007687579. The next prime is 10007687611. The reversal of 10007687601 is 10678670001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8693697600 + 1313990001 = 93240^2 + 36249^2 .

It is not a de Polignac number, because 10007687601 - 2¹⁴ = 10007671217 is a prime.

It is a super-2 number, since 2×10007687601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007687611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555982636 + ... + 555982653.

Almost surely, 2^10007687601 is an apocalyptic number.

It is an amenable number.

10007687601 is a deficient number, since it is larger than the sum of its proper divisors (4447861169).

10007687601 is a wasteful number, since it uses less digits than its factorization.

10007687601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111965295 (or 1111965292 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10007687601 in words is "ten billion, seven million, six hundred eighty-seven thousand, six hundred one".