10611253106505 has 16 divisors (see below), whose sum is σ = 18864449967360. Its totient is φ = 5659334990064.

The previous prime is 10611253106449. The next prime is 10611253106543. The reversal of 10611253106505 is 50560135211601.

10611253106505 is a `hidden beast` number, since 1 + 0 + 6 + 112 + 5 + 31 + 0 + 6 + 505 = 666.

It is not a de Polignac number, because 10611253106505 - 2⁸ = 10611253106249 is a prime.

It is a super-2 number, since 2×10611253106505² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10611253106505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39300937297 + ... + 39300937566.

It is an arithmetic number, because the mean of its divisors is an integer number (1179028122960).

Almost surely, 2^{10611253106505} is an apocalyptic number.

10611253106505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10611253106505 is a deficient number, since it is larger than the sum of its proper divisors (8253196860855).

10611253106505 is an equidigital number, since it uses as much as digits as its factorization.

10611253106505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78601874877 (or 78601874871 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10611253106505 in words is "ten trillion, six hundred eleven billion, two hundred fifty-three million, one hundred six thousand, five hundred five".