10506001060511 has 8 divisors (see below), whose sum is σ = 12135273952464. Its totient is φ = 8989091816320.

The previous prime is 10506001060507. The next prime is 10506001060523. The reversal of 10506001060511 is 11506010060501.

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

It is not a de Polignac number, because 10506001060511 - 2² = 10506001060507 is a prime.

It is a super-2 number, since 2×10506001060511² (a number of 27 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 (10506001060211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28090911740 + ... + 28090912113.

It is an arithmetic number, because the mean of its divisors is an integer number (1516909244058).

Almost surely, 2^{10506001060511} is an apocalyptic number.

10506001060511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10506001060511 is a deficient number, since it is larger than the sum of its proper divisors (1629272891953).

10506001060511 is a wasteful number, since it uses less digits than its factorization.

10506001060511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56181823881.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 10506001060511 in words is "ten trillion, five hundred six billion, one million, sixty thousand, five hundred eleven".