493428978025 has 27 divisors (see below), whose sum is σ = 629001062319. Its totient is φ = 383973295680.

The previous prime is 493428978019. The next prime is 493428978073. The reversal of 493428978025 is 520879824394.

The square root of 493428978025 is 702445.

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

It can be written as a sum of positive squares in 13 ways, for example, as 408419411929 + 85009566096 = 639077^2 + 291564^2 .

It is not a de Polignac number, because 493428978025 - 2¹⁵ = 493428945257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129950427 + ... + 129954223.

Almost surely, 2^493428978025 is an apocalyptic number.

493428978025 is the 702445-th square number.

493428978025 is the 351223-rd centered octagonal number.

It is an amenable number.

493428978025 is a deficient number, since it is larger than the sum of its proper divisors (135572084294).

493428978025 is an frugal number, since it uses more digits than its factorization.

493428978025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 493428978025 in words is "four hundred ninety-three billion, four hundred twenty-eight million, nine hundred seventy-eight thousand, twenty-five".