1965153125 has 54 divisors (see below), whose sum is σ = 2704080834. Its totient is φ = 1427400000.

The previous prime is 1965153101. The next prime is 1965153161. The reversal of 1965153125 is 5213515691.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 27 ways, for example, as 57123364 + 1908029761 = 7558^2 + 43681^2 .

It is not a de Polignac number, because 1965153125 - 2²⁶ = 1898044261 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 32215595 + ... + 32215655.

It is an arithmetic number, because the mean of its divisors is an integer number (50075571).

Almost surely, 2^1965153125 is an apocalyptic number.

It is an amenable number.

1965153125 is a deficient number, since it is larger than the sum of its proper divisors (738927709).

1965153125 is an frugal number, since it uses more digits than its factorization.

1965153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 79 counting only the distinct ones).

The product of its digits is 40500, while the sum is 38.

The square root of 1965153125 is about 44330.0476539333. The cubic root of 1965153125 is about 1252.5607504634.

Multiplying 1965153125 by its product of digits (40500), we get a square (79588701562500 = 8921250²).

The spelling of 1965153125 in words is "one billion, nine hundred sixty-five million, one hundred fifty-three thousand, one hundred twenty-five".