42053294761 has 3 divisors (see below), whose sum is σ = 42053499831. Its totient is φ = 42053089692.

The previous prime is 42053294753. The next prime is 42053294809. The reversal of 42053294761 is 16749235024.

The square root of 42053294761 is 205069.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 31904747161 + 10148547600 = 178619^2 + 100740^2 .

It is not a de Polignac number, because 42053294761 - 2³ = 42053294753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42053294861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 102535 + ... + 307603.

It is an arithmetic number, because the mean of its divisors is an integer number (14017833277).

Almost surely, 2^42053294761 is an apocalyptic number.

42053294761 is the 205069-th square number.

42053294761 is the 102535-th centered octagonal number.

It is an amenable number.

42053294761 is a deficient number, since it is larger than the sum of its proper divisors (205070).

42053294761 is an frugal number, since it uses more digits than its factorization.

42053294761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410138 (or 205069 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 42053294761 in words is "forty-two billion, fifty-three million, two hundred ninety-four thousand, seven hundred sixty-one".