452959958529 has 27 divisors (see below), whose sum is σ = 708516889353. Its totient is φ = 278728437312.

The previous prime is 452959958501. The next prime is 452959958533. The reversal of 452959958529 is 925859959254.

The square root of 452959958529 is 673023.

It is a perfect power (a square), and thus also a powerful number.

452959958529 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 5 + 9 + 95 + 8 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317727250929 + 135232707600 = 563673^2 + 367740^2 .

It is not a de Polignac number, because 452959958529 - 2¹⁹ = 452959434241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (452959958729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26239269 + ... + 26256525.

Almost surely, 2^452959958529 is an apocalyptic number.

452959958529 is the 673023-rd square number.

452959958529 is the 336512-nd centered octagonal number.

It is an amenable number.

452959958529 is a deficient number, since it is larger than the sum of its proper divisors (255556930824).

452959958529 is an frugal number, since it uses more digits than its factorization.

452959958529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34546 (or 17273 counting only the distinct ones).

The product of its digits is 524880000, while the sum is 72.

The spelling of 452959958529 in words is "four hundred fifty-two billion, nine hundred fifty-nine million, nine hundred fifty-eight thousand, five hundred twenty-nine".