7410018958225 has 27 divisors (see below), whose sum is σ = 9949832271633. Its totient is φ = 5471883337440.

The previous prime is 7410018958217. The next prime is 7410018958273. The reversal of 7410018958225 is 5228598100147.

The square root of 7410018958225 is 2722135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1909943348049 + 5500075610176 = 1382007^2 + 2345224^2 .

It is not a de Polignac number, because 7410018958225 - 2³ = 7410018958217 is a prime.

It is a super-2 number, since 2×7410018958225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176917836 + ... + 176959714.

Almost surely, 2^{7410018958225} is an apocalyptic number.

7410018958225 is the 2722135-th square number.

7410018958225 is the 1361068-th centered octagonal number.

It is an amenable number.

7410018958225 is a deficient number, since it is larger than the sum of its proper divisors (2539813313408).

7410018958225 is an frugal number, since it uses more digits than its factorization.

7410018958225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83794 (or 41897 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 7410018958225 in words is "seven trillion, four hundred ten billion, eighteen million, nine hundred fifty-eight thousand, two hundred twenty-five".