10611501006501 has 24 divisors (see below), whose sum is σ = 15485906872800. Its totient is φ = 7001384508000.

The previous prime is 10611501006493. The next prime is 10611501006569. The reversal of 10611501006501 is 10560010511601.

10611501006501 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 5 + 0 + 1 + 0 + 0 + 650 + 1 = 666.

It is not a de Polignac number, because 10611501006501 - 2³ = 10611501006493 is a prime.

It is a super-2 number, since 2×10611501006501² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611501006581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229351 + ... + 4612548.

It is an arithmetic number, because the mean of its divisors is an integer number (645246119700).

Almost surely, 2^{10611501006501} is an apocalyptic number.

It is an amenable number.

10611501006501 is a deficient number, since it is larger than the sum of its proper divisors (4874405866299).

10611501006501 is a wasteful number, since it uses less digits than its factorization.

10611501006501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844417 (or 4844414 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10611501006501 in words is "ten trillion, six hundred eleven billion, five hundred one million, six thousand, five hundred one".