1630948225 has 27 divisors (see below), whose sum is σ = 2083480891. Its totient is φ = 1266473600.

The previous prime is 1630948181. The next prime is 1630948243. The reversal of 1630948225 is 5228490361.

The square root of 1630948225 is 40385.

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 918271809 + 712676416 = 30303^2 + 26696^2 .

It is not a de Polignac number, because 1630948225 - 2²⁵ = 1597393793 is a prime.

It is a super-2 number, since 2×1630948225² = 5319984225261301250, which 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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8278827 + ... + 8279023.

Almost surely, 2^1630948225 is an apocalyptic number.

1630948225 is the 40385-th square number.

1630948225 is the 20193-rd centered octagonal number.

It is an amenable number.

1630948225 is a deficient number, since it is larger than the sum of its proper divisors (452532666).

1630948225 is an frugal number, since it uses more digits than its factorization.

1630948225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 1630948225 is about 1177.1000861235.

The spelling of 1630948225 in words is "one billion, six hundred thirty million, nine hundred forty-eight thousand, two hundred twenty-five".