1010505441056 has 12 divisors (see below), whose sum is σ = 1989432587142. Its totient is φ = 505252720512.

The previous prime is 1010505441031. The next prime is 1010505441149. The reversal of 1010505441056 is 6501445050101.

1010505441056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 815618509456 + 194886931600 = 903116^2 + 441460^2 .

It is a super-2 number, since 2×1010505441056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 31578295033 = 1010505441056 / (1 + 0 + 1 + 0 + 5 + 0 + 5 + 4 + 4 + 1 + 0 + 5 + 6).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15789147485 + ... + 15789147548.

Almost surely, 2^{1010505441056} is an apocalyptic number.

1010505441056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010505441056 is a deficient number, since it is larger than the sum of its proper divisors (978927146086).

1010505441056 is an equidigital number, since it uses as much as digits as its factorization.

1010505441056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31578295043 (or 31578295035 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 1010505441056 in words is "one trillion, ten billion, five hundred five million, four hundred forty-one thousand, fifty-six".