45265459217521 has 15 divisors (see below), whose sum is σ = 46780988267915. Its totient is φ = 43799026110000.

The previous prime is 45265459217519. The next prime is 45265459217533. The reversal of 45265459217521 is 12571295456254.

The square root of 45265459217521 is 6727961.

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., 19127598467121 + 26137860750400 = 4373511^2 + 5112520^2 .

It is not a de Polignac number, because 45265459217521 - 2¹ = 45265459217519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45265459217021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6465567021 + ... + 6465574021.

Almost surely, 2^{45265459217521} is an apocalyptic number.

45265459217521 is the 6727961-st square number.

45265459217521 is the 3363981-st centered octagonal number.

It is an amenable number.

45265459217521 is a deficient number, since it is larger than the sum of its proper divisors (1515529050394).

45265459217521 is an frugal number, since it uses more digits than its factorization.

45265459217521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126 (or 7032 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 58.

The spelling of 45265459217521 in words is "forty-five trillion, two hundred sixty-five billion, four hundred fifty-nine million, two hundred seventeen thousand, five hundred twenty-one".