609256741401 has 243 divisors, whose sum is σ = 1173476779839. Its totient is φ = 303477451200.

The previous prime is 609256741381. The next prime is 609256741403. The reversal of 609256741401 is 104147652906.

The square root of 609256741401 is 780549.

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

609256741401 is a `hidden beast` number, since 6 + 0 + 9 + 2 + 567 + 41 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 424649025801 + 184607715600 = 651651^2 + 429660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-609256741401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (609256741403) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 5589511335 + ... + 5589511443.

Almost surely, 2^609256741401 is an apocalyptic number.

609256741401 is the 780549-th square number.

609256741401 is the 390275-th centered octagonal number.

It is an amenable number.

609256741401 is a deficient number, since it is larger than the sum of its proper divisors (564220038438).

609256741401 is a wasteful number, since it uses less digits than its factorization.

609256741401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 609256741401 in words is "six hundred nine billion, two hundred fifty-six million, seven hundred forty-one thousand, four hundred one".