411777606601 has 9 divisors (see below), whose sum is σ = 437436243399. Its totient is φ = 387545127264.

The previous prime is 411777606547. The next prime is 411777606607. The reversal of 411777606601 is 106606777114.

The square root of 411777606601 is 641699.

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

It can be written as a sum of positive squares in only one way, i.e., 320588102025 + 91189504576 = 566205^2 + 301976^2 .

It is not a de Polignac number, because 411777606601 - 2⁷ = 411777606473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411777606607) 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, 10890010 + ... + 10927756.

Almost surely, 2^411777606601 is an apocalyptic number.

411777606601 is the 641699-th square number.

411777606601 is the 320850-th centered octagonal number.

It is an amenable number.

411777606601 is a deficient number, since it is larger than the sum of its proper divisors (25658636798).

411777606601 is an frugal number, since it uses more digits than its factorization.

411777606601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75528 (or 37764 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 411777606601 in words is "four hundred eleven billion, seven hundred seventy-seven million, six hundred six thousand, six hundred one".