85409478001 has 3 divisors (see below), whose sum is σ = 85409770251. Its totient is φ = 85409185752.

The previous prime is 85409477983. The next prime is 85409478023. The reversal of 85409478001 is 10087490458.

The square root of 85409478001 is 292249.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 6560838001 + 78848640000 = 80999^2 + 280800^2 .

It is not a de Polignac number, because 85409478001 - 2²³ = 85401089393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85409478071) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 146125 + ... + 438373.

It is an arithmetic number, because the mean of its divisors is an integer number (28469923417).

Almost surely, 2^85409478001 is an apocalyptic number.

85409478001 is the 292249-th square number.

85409478001 is the 146125-th centered octagonal number.

It is an amenable number.

85409478001 is a deficient number, since it is larger than the sum of its proper divisors (292250).

85409478001 is an frugal number, since it uses more digits than its factorization.

85409478001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584498 (or 292249 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 85409478001 in words is "eighty-five billion, four hundred nine million, four hundred seventy-eight thousand, one".