1909260225 has 72 divisors (see below), whose sum is σ = 3631207320. Its totient is φ = 955637760.

The previous prime is 1909260203. The next prime is 1909260281. The reversal of 1909260225 is 5220629091.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 404130609 + 1505129616 = 20103^2 + 38796^2 .

It is not a de Polignac number, because 1909260225 - 2⁷ = 1909260097 is a prime.

It is a super-3 number, since 3×1909260225³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1909260225.

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 71 ways as a sum of consecutive naturals, for example, 2359621 + ... + 2360429.

It is an arithmetic number, because the mean of its divisors is an integer number (50433435).

Almost surely, 2^1909260225 is an apocalyptic number.

1909260225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1909260225 is a deficient number, since it is larger than the sum of its proper divisors (1721947095).

1909260225 is a wasteful number, since it uses less digits than its factorization.

1909260225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1909260225 is about 43695.0823892117. The cubic root of 1909260225 is about 1240.5712389277.

The spelling of 1909260225 in words is "one billion, nine hundred nine million, two hundred sixty thousand, two hundred twenty-five".