87251920801 has 2 divisors, whose sum is σ = 87251920802. Its totient is φ = 87251920800.

The previous prime is 87251920699. The next prime is 87251920813. The reversal of 87251920801 is 10802915278.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86694913600 + 557007201 = 294440^2 + 23601^2 .

It is a cyclic number.

It is not a de Polignac number, because 87251920801 - 2⁷ = 87251920673 is a prime.

It is a super-2 number, since 2×87251920801² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (87251920841) 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 as a sum of consecutive naturals, namely, 43625960400 + 43625960401.

It is an arithmetic number, because the mean of its divisors is an integer number (43625960401).

Almost surely, 2^87251920801 is an apocalyptic number.

It is an amenable number.

87251920801 is a deficient number, since it is larger than the sum of its proper divisors (1).

87251920801 is an equidigital number, since it uses as much as digits as its factorization.

87251920801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 87251920801 in words is "eighty-seven billion, two hundred fifty-one million, nine hundred twenty thousand, eight hundred one".