42065599801 has 9 divisors (see below), whose sum is σ = 42264040399. Its totient is φ = 41868089464.

The previous prime is 42065599759. The next prime is 42065599897. The reversal of 42065599801 is 10899556024.

The square root of 42065599801 is 205099.

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

It can be written as a sum of positive squares in only one way, i.e., 2354675625 + 39710924176 = 48525^2 + 199276^2 .

It is not a de Polignac number, because 42065599801 - 2¹³ = 42065591609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42065599501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65016060 + ... + 65016706.

Almost surely, 2^42065599801 is an apocalyptic number.

42065599801 is the 205099-th square number.

42065599801 is the 102550-th centered octagonal number.

It is an amenable number.

42065599801 is a deficient number, since it is larger than the sum of its proper divisors (198440598).

42065599801 is an frugal number, since it uses more digits than its factorization.

42065599801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 42065599801 by its sum of digits (49), we get a square (2061214390249 = 1435693²).

The spelling of 42065599801 in words is "forty-two billion, sixty-five million, five hundred ninety-nine thousand, eight hundred one".