1909385058025 has 27 divisors (see below), whose sum is σ = 2424356519031. Its totient is φ = 1491752460240.

The previous prime is 1909385057969. The next prime is 1909385058071. The reversal of 1909385058025 is 5208505839091.

It is a happy number.

The square root of 1909385058025 is 1381805.

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

It can be written as a sum of positive squares in only one way, i.e., 687378620889 + 1222006437136 = 829083^2 + 1105444^2 .

It is not a de Polignac number, because 1909385058025 - 2⁷ = 1909385057897 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 297084862 + ... + 297091288.

Almost surely, 2^{1909385058025} is an apocalyptic number.

1909385058025 is the 1381805-th square number.

1909385058025 is the 690903-rd centered octagonal number.

It is an amenable number.

1909385058025 is a deficient number, since it is larger than the sum of its proper divisors (514971461006).

1909385058025 is an frugal number, since it uses more digits than its factorization.

1909385058025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 1909385058025 in words is "one trillion, nine hundred nine billion, three hundred eighty-five million, fifty-eight thousand, twenty-five".