1903116816225 has 27 divisors (see below), whose sum is σ = 3408730739193. Its totient is φ = 1014984599040.

The previous prime is 1903116816203. The next prime is 1903116816233. The reversal of 1903116816225 is 5226186113091.

It is a happy number.

The square root of 1903116816225 is 1379535.

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

1903116816225 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 1 + 16 + 8 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74494161 + 1903042322064 = 8631^2 + 1379508^2 .

It is not a de Polignac number, because 1903116816225 - 2¹¹ = 1903116814177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20647041 + ... + 20739009.

Almost surely, 2^{1903116816225} is an apocalyptic number.

1903116816225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1903116816225 is the 1379535-th square number.

1903116816225 is the 689768-th centered octagonal number.

It is an amenable number.

1903116816225 is a deficient number, since it is larger than the sum of its proper divisors (1505613922968).

1903116816225 is an frugal number, since it uses more digits than its factorization.

1903116816225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183954 (or 91977 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1903116816225 in words is "one trillion, nine hundred three billion, one hundred sixteen million, eight hundred sixteen thousand, two hundred twenty-five".