1949639727025 has 27 divisors (see below), whose sum is σ = 2568283858369. Its totient is φ = 1467874666880.

The previous prime is 1949639727023. The next prime is 1949639727029. The reversal of 1949639727025 is 5207279369491.

The square root of 1949639727025 is 1396295.

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 45604029601 + 1904035697424 = 213551^2 + 1379868^2 .

It is not a de Polignac number, because 1949639727025 - 2¹ = 1949639727023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1949639727023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118676862 + ... + 118693288.

Almost surely, 2^{1949639727025} is an apocalyptic number.

1949639727025 is the 1396295-th square number.

1949639727025 is the 698148-th centered octagonal number.

It is an amenable number.

1949639727025 is a deficient number, since it is larger than the sum of its proper divisors (618644131344).

1949639727025 is an frugal number, since it uses more digits than its factorization.

1949639727025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32898 (or 16449 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 64.

Multiplying 1949639727025 by its sum of digits (64), we get a square (124776942529600 = 11170360²).

The spelling of 1949639727025 in words is "one trillion, nine hundred forty-nine billion, six hundred thirty-nine million, seven hundred twenty-seven thousand, twenty-five".