247825814641 has 2 divisors, whose sum is σ = 247825814642. Its totient is φ = 247825814640.

The previous prime is 247825814617. The next prime is 247825814647. The reversal of 247825814641 is 146418528742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245524214016 + 2301600625 = 495504^2 + 47975^2 .

It is a cyclic number.

It is not a de Polignac number, because 247825814641 - 2²¹ = 247823717489 is a prime.

It is a super-3 number, since 3×247825814641³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (247825814647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123912907320 + 123912907321.

It is an arithmetic number, because the mean of its divisors is an integer number (123912907321).

Almost surely, 2^247825814641 is an apocalyptic number.

It is an amenable number.

247825814641 is a deficient number, since it is larger than the sum of its proper divisors (1).

247825814641 is an equidigital number, since it uses as much as digits as its factorization.

247825814641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3440640, while the sum is 52.

The spelling of 247825814641 in words is "two hundred forty-seven billion, eight hundred twenty-five million, eight hundred fourteen thousand, six hundred forty-one".