1935601605081 has 9 divisors (see below), whose sum is σ = 2795875013919. Its totient is φ = 1290398287536.

The previous prime is 1935601605059. The next prime is 1935601605097. The reversal of 1935601605081 is 1805061065391.

The square root of 1935601605081 is 1391259.

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

1935601605081 is a `hidden beast` number, since 1 + 9 + 3 + 560 + 1 + 6 + 0 + 5 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334911051225 + 1600690553856 = 578715^2 + 1265184^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-1935601605081 is a prime.

It is a super-2 number, since 2×1935601605081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1935601605181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3941901 + ... + 4405653.

Almost surely, 2^{1935601605081} is an apocalyptic number.

1935601605081 is the 1391259-th square number.

1935601605081 is the 695630-th centered octagonal number.

It is an amenable number.

1935601605081 is a deficient number, since it is larger than the sum of its proper divisors (860273408838).

1935601605081 is an frugal number, since it uses more digits than its factorization.

1935601605081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927512 (or 463756 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1935601605081 in words is "one trillion, nine hundred thirty-five billion, six hundred one million, six hundred five thousand, eighty-one".