10520435443311 has 12 divisors (see below), whose sum is σ = 15338204946792. Its totient is φ = 6948075743856.

The previous prime is 10520435443303. The next prime is 10520435443361. The reversal of 10520435443311 is 11334453402501.

10520435443311 is a `hidden beast` number, since 1 + 0 + 5 + 204 + 3 + 5 + 4 + 433 + 11 = 666.

It is not a de Polignac number, because 10520435443311 - 2³ = 10520435443303 is a prime.

It is a super-4 number, since 4×10520435443311⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520435443361) 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 11 ways as a sum of consecutive naturals, for example, 5462322736 + ... + 5462324661.

It is an arithmetic number, because the mean of its divisors is an integer number (1278183745566).

Almost surely, 2^{10520435443311} is an apocalyptic number.

10520435443311 is a deficient number, since it is larger than the sum of its proper divisors (4817769503481).

10520435443311 is a wasteful number, since it uses less digits than its factorization.

10520435443311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924647510 (or 10924647507 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10520435443311 its reverse (11334453402501), we get a palindrome (21854888845812).

The spelling of 10520435443311 in words is "ten trillion, five hundred twenty billion, four hundred thirty-five million, four hundred forty-three thousand, three hundred eleven".