2067405753125 has 90 divisors (see below), whose sum is σ = 2776791613806. Its totient is φ = 1539144640000.

The previous prime is 2067405753097. The next prime is 2067405753163. The reversal of 2067405753125 is 5213575047602.

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 45 ways, for example, as 177107988964 + 1890297764161 = 420842^2 + 1374881^2 .

It is not a de Polignac number, because 2067405753125 - 2¹⁰ = 2067405752101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2067405753125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 23229278081 + ... + 23229278169.

Almost surely, 2^{2067405753125} is an apocalyptic number.

2067405753125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2067405753125 is a deficient number, since it is larger than the sum of its proper divisors (709385860681).

2067405753125 is an frugal number, since it uses more digits than its factorization.

2067405753125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 2067405753125 in words is "two trillion, sixty-seven billion, four hundred five million, seven hundred fifty-three thousand, one hundred twenty-five".