42956293081 has 27 divisors (see below), whose sum is σ = 47270822781. Its totient is φ = 39017750304.

The previous prime is 42956293069. The next prime is 42956293103. The reversal of 42956293081 is 18039265924.

The square root of 42956293081 is 207259.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23248625625 + 19707667456 = 152475^2 + 140384^2 .

It is not a de Polignac number, because 42956293081 - 2³³ = 34366358489 is a prime.

It is a super-2 number, since 2×42956293081² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42956213081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288297195 + ... + 288297343.

Almost surely, 2^42956293081 is an apocalyptic number.

42956293081 is the 207259-th square number.

42956293081 is the 103630-th centered octagonal number.

It is an amenable number.

42956293081 is a deficient number, since it is larger than the sum of its proper divisors (4314529700).

42956293081 is an equidigital number, since it uses as much as digits as its factorization.

42956293081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 42956293081 by its sum of digits (49), we get a square (2104858360969 = 1450813²).

The spelling of 42956293081 in words is "forty-two billion, nine hundred fifty-six million, two hundred ninety-three thousand, eighty-one".