753450040225 has 27 divisors (see below), whose sum is σ = 986146535577. Its totient is φ = 570973322880.

The previous prime is 753450040207. The next prime is 753450040243. The reversal of 753450040225 is 522040054357.

The square root of 753450040225 is 868015.

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

It is an interprime number because it is at equal distance from previous prime (753450040207) and next prime (753450040243).

It can be written as a sum of positive squares in 4 ways, for example, as 405543533329 + 347906506896 = 636823^2 + 589836^2 .

It is not a de Polignac number, because 753450040225 - 2³⁷ = 616011086753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82456857 + ... + 82465993.

Almost surely, 2^753450040225 is an apocalyptic number.

753450040225 is the 868015-th square number.

753450040225 is the 434008-th centered octagonal number.

It is an amenable number.

753450040225 is a deficient number, since it is larger than the sum of its proper divisors (232696495352).

753450040225 is an frugal number, since it uses more digits than its factorization.

753450040225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18322 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The spelling of 753450040225 in words is "seven hundred fifty-three billion, four hundred fifty million, forty thousand, two hundred twenty-five".