42652970362081 has 8 divisors (see below), whose sum is σ = 45162051525000. Its totient is φ = 40143898411008.

The previous prime is 42652970362043. The next prime is 42652970362091. The reversal of 42652970362081 is 18026307925624.

It is a happy number.

42652970362081 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 4 ways, for example, as 3565979024400 + 39086991337681 = 1888380^2 + 6251959^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42652970362081 - 2²³ = 42652961973473 is a prime.

It is a super-3 number, since 3×42652970362081³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42652970362001) 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, 8743905 + ... + 12718561.

It is an arithmetic number, because the mean of its divisors is an integer number (5645256440625).

It is a 3-persistent number, because k⋅42652970362081 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{42652970362081} is an apocalyptic number.

It is an amenable number.

42652970362081 is a deficient number, since it is larger than the sum of its proper divisors (2509081162919).

42652970362081 is a wasteful number, since it uses less digits than its factorization.

42652970362081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605923.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 42652970362081 in words is "forty-two trillion, six hundred fifty-two billion, nine hundred seventy million, three hundred sixty-two thousand, eighty-one".