247000545495001 has 9 divisors (see below), whose sum is σ = 247812569006751. Its totient is φ = 246191174284752.

The previous prime is 247000545494987. The next prime is 247000545495047. The reversal of 247000545495001 is 100594545000742.

The square root of 247000545495001 is 15716251.

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., 5994295305625 + 241006250189376 = 2448325^2 + 15524376^2 .

It is not a de Polignac number, because 247000545495001 - 2¹⁹ = 247000544970713 is a prime.

It is a super-2 number, since 2×247000545495001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247000545495901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4824863461 + ... + 4824914653.

It is an arithmetic number, because the mean of its divisors is an integer number (27534729889639).

Almost surely, 2^{247000545495001} is an apocalyptic number.

247000545495001 is the 15716251-st square number.

247000545495001 is the 7858126-th centered octagonal number.

It is an amenable number.

247000545495001 is a deficient number, since it is larger than the sum of its proper divisors (812023511750).

247000545495001 is an frugal number, since it uses more digits than its factorization.

247000545495001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103000 (or 51500 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 247000545495001 in words is "two hundred forty-seven trillion, five hundred forty-five million, four hundred ninety-five thousand, one".