1853093961225 has 252 divisors, whose sum is σ = 3742898741604. Its totient is φ = 909282516480.

The previous prime is 1853093961181. The next prime is 1853093961233. The reversal of 1853093961225 is 5221693903581.

1853093961225 is a `hidden beast` number, since 1 + 8 + 530 + 9 + 3 + 96 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 1649588315769 + 203505645456 = 1284363^2 + 451116^2 .

It is not a de Polignac number, because 1853093961225 - 2¹⁸ = 1853093699081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1148848519 + ... + 1148850131.

Almost surely, 2^{1853093961225} is an apocalyptic number.

1853093961225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1853093961225 is an abundant number, since it is smaller than the sum of its proper divisors (1889804780379).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1853093961225 is a wasteful number, since it uses less digits than its factorization.

1853093961225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1853093961225 in words is "one trillion, eight hundred fifty-three billion, ninety-three million, nine hundred sixty-one thousand, two hundred twenty-five".