40517261521 has 27 divisors (see below), whose sum is σ = 46197377499. Its totient is φ = 35507379600.

The previous prime is 40517261509. The next prime is 40517261527. The reversal of 40517261521 is 12516271504.

The square root of 40517261521 is 201289.

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., 21246269121 + 19270992400 = 145761^2 + 138820^2 .

It is not a de Polignac number, because 40517261521 - 2⁹ = 40517261009 is a prime.

It is a super-2 number, since 2×40517261521² (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 (40517261527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64210876 + ... + 64211506.

Almost surely, 2^40517261521 is an apocalyptic number.

40517261521 is the 201289-th square number.

40517261521 is the 100645-th centered octagonal number.

It is an amenable number.

40517261521 is a deficient number, since it is larger than the sum of its proper divisors (5680115978).

40517261521 is an frugal number, since it uses more digits than its factorization.

40517261521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 40517261521 in words is "forty billion, five hundred seventeen million, two hundred sixty-one thousand, five hundred twenty-one".