1610725765361 has 16 divisors (see below), whose sum is σ = 1716871734864. Its totient is φ = 1505861904384.

The previous prime is 1610725765333. The next prime is 1610725765379. The reversal of 1610725765361 is 1635675270161.

It can be written as a sum of positive squares in 8 ways, for example, as 179484406336 + 1431241359025 = 423656^2 + 1196345^2 .

It is a cyclic number.

It is not a de Polignac number, because 1610725765361 - 2¹⁰ = 1610725764337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1610725765331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3039941 + ... + 3530253.

It is an arithmetic number, because the mean of its divisors is an integer number (107304483429).

Almost surely, 2^{1610725765361} is an apocalyptic number.

It is an amenable number.

1610725765361 is a deficient number, since it is larger than the sum of its proper divisors (106145969503).

1610725765361 is a wasteful number, since it uses less digits than its factorization.

1610725765361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491620.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 1610725765361 in words is "one trillion, six hundred ten billion, seven hundred twenty-five million, seven hundred sixty-five thousand, three hundred sixty-one".