5040972434521 has 9 divisors (see below), whose sum is σ = 5320295708511. Its totient is φ = 4775617682064.

The previous prime is 5040972434507. The next prime is 5040972434611. The reversal of 5040972434521 is 1254342790405.

The square root of 5040972434521 is 2245211.

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., 3127730194521 + 1913242240000 = 1768539^2 + 1383200^2 .

It is not a de Polignac number, because 5040972434521 - 2⁹ = 5040972434009 is a prime.

It is a super-2 number, since 2×5040972434521² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5040972432521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42599925 + ... + 42718093.

Almost surely, 2^{5040972434521} is an apocalyptic number.

5040972434521 is the 2245211-st square number.

5040972434521 is the 1122606-th centered octagonal number.

It is an amenable number.

5040972434521 is a deficient number, since it is larger than the sum of its proper divisors (279323273990).

5040972434521 is an frugal number, since it uses more digits than its factorization.

5040972434521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236376 (or 118188 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 5040972434521 in words is "five trillion, forty billion, nine hundred seventy-two million, four hundred thirty-four thousand, five hundred twenty-one".