557009961561 has 27 divisors (see below), whose sum is σ = 809388219549. Its totient is φ = 369129341952.

The previous prime is 557009961551. The next prime is 557009961577. The reversal of 557009961561 is 165169900755.

The square root of 557009961561 is 746331.

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

557009961561 is a `hidden beast` number, since 5 + 5 + 70 + 0 + 9 + 9 + 6 + 1 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2366336025 + 554643625536 = 48645^2 + 744744^2 .

It is not a de Polignac number, because 557009961561 - 2¹³ = 557009953369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 557009961498 and 557009961507.

It is not an unprimeable number, because it can be changed into a prime (557009961551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 432125005 + ... + 432126293.

Almost surely, 2^557009961561 is an apocalyptic number.

557009961561 is the 746331-st square number.

557009961561 is the 373166-th centered octagonal number.

It is an amenable number.

557009961561 is a deficient number, since it is larger than the sum of its proper divisors (252378257988).

557009961561 is an frugal number, since it uses more digits than its factorization.

557009961561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 557009961561 in words is "five hundred fifty-seven billion, nine million, nine hundred sixty-one thousand, five hundred sixty-one".