85553006761 has 2 divisors, whose sum is σ = 85553006762. Its totient is φ = 85553006760.

The previous prime is 85553006717. The next prime is 85553006779. The reversal of 85553006761 is 16760035558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46335145536 + 39217861225 = 215256^2 + 198035^2 .

It is a cyclic number.

It is not a de Polignac number, because 85553006761 - 2¹⁵ = 85552973993 is a prime.

It is a super-2 number, since 2×85553006761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85553006261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42776503380 + 42776503381.

It is an arithmetic number, because the mean of its divisors is an integer number (42776503381).

Almost surely, 2^85553006761 is an apocalyptic number.

It is an amenable number.

85553006761 is a deficient number, since it is larger than the sum of its proper divisors (1).

85553006761 is an equidigital number, since it uses as much as digits as its factorization.

85553006761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 85553006761 in words is "eighty-five billion, five hundred fifty-three million, six thousand, seven hundred sixty-one".