42762517681 has 9 divisors (see below), whose sum is σ = 46307885931. Its totient is φ = 39470611752.

The previous prime is 42762517673. The next prime is 42762517709. The reversal of 42762517681 is 18671526724.

The square root of 42762517681 is 206791.

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., 6325816225 + 36436701456 = 79535^2 + 190884^2 .

It is not a de Polignac number, because 42762517681 - 2³ = 42762517673 is a prime.

It is a super-2 number, since 2×42762517681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42762517081) 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, 2680330 + ... + 2696236.

It is an arithmetic number, because the mean of its divisors is an integer number (5145320659).

Almost surely, 2^42762517681 is an apocalyptic number.

42762517681 is the 206791-st square number.

42762517681 is the 103396-th centered octagonal number.

It is an amenable number.

42762517681 is a deficient number, since it is larger than the sum of its proper divisors (3545368250).

42762517681 is an frugal number, since it uses more digits than its factorization.

42762517681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840 (or 15920 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

Multiplying 42762517681 by its sum of digits (49), we get a square (2095363366369 = 1447537²).

The spelling of 42762517681 in words is "forty-two billion, seven hundred sixty-two million, five hundred seventeen thousand, six hundred eighty-one".