1056735305535 has 64 divisors (see below), whose sum is σ = 2125231460352. Its totient is φ = 436431407616.

The previous prime is 1056735305533. The next prime is 1056735305617. The reversal of 1056735305535 is 5355035376501.

It is not a de Polignac number, because 1056735305535 - 2¹ = 1056735305533 is a prime.

It is a super-2 number, since 2×1056735305535² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056735305533) 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 63 ways as a sum of consecutive naturals, for example, 8171644 + ... + 8299953.

It is an arithmetic number, because the mean of its divisors is an integer number (33206741568).

Almost surely, 2^{1056735305535} is an apocalyptic number.

1056735305535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1056735305535 is an abundant number, since it is smaller than the sum of its proper divisors (1068496154817).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056735305535 is a wasteful number, since it uses less digits than its factorization.

1056735305535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16471672.

The product of its (nonzero) digits is 3543750, while the sum is 48.

The spelling of 1056735305535 in words is "one trillion, fifty-six billion, seven hundred thirty-five million, three hundred five thousand, five hundred thirty-five".