426459935521 has 9 divisors (see below), whose sum is σ = 445823536179. Its totient is φ = 407903832336.

The previous prime is 426459935513. The next prime is 426459935533. The reversal of 426459935521 is 125539954624.

The square root of 426459935521 is 653039.

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., 416366920225 + 10093015296 = 645265^2 + 100464^2 .

It is not a de Polignac number, because 426459935521 - 2³ = 426459935513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426459935581) 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, 15005701 + ... + 15034093.

Almost surely, 2^426459935521 is an apocalyptic number.

426459935521 is the 653039-th square number.

426459935521 is the 326520-th centered octagonal number.

It is an amenable number.

426459935521 is a deficient number, since it is larger than the sum of its proper divisors (19363600658).

426459935521 is an frugal number, since it uses more digits than its factorization.

426459935521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56832 (or 28416 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 426459935521 in words is "four hundred twenty-six billion, four hundred fifty-nine million, nine hundred thirty-five thousand, five hundred twenty-one".