10611121624561 has 4 divisors (see below), whose sum is σ = 10614610980324. Its totient is φ = 10607632268800.

The previous prime is 10611121624501. The next prime is 10611121624567. The reversal of 10611121624561 is 16542612111601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6371459430625 + 4239662193936 = 2524175^2 + 2059044^2 .

It is a cyclic number.

It is not a de Polignac number, because 10611121624561 - 2²¹ = 10611119527409 is a prime.

It is a super-2 number, since 2×10611121624561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10611121624561.

It is not an unprimeable number, because it can be changed into a prime (10611121624567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1744673320 + ... + 1744679401.

It is an arithmetic number, because the mean of its divisors is an integer number (2653652745081).

Almost surely, 2^{10611121624561} is an apocalyptic number.

It is an amenable number.

10611121624561 is a deficient number, since it is larger than the sum of its proper divisors (3489355763).

10611121624561 is an equidigital number, since it uses as much as digits as its factorization.

10611121624561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489355762.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 10611121624561 in words is "ten trillion, six hundred eleven billion, one hundred twenty-one million, six hundred twenty-four thousand, five hundred sixty-one".