853038807201 has 135 divisors (see below), whose sum is σ = 1475719810227. Its totient is φ = 474804802080.

The previous prime is 853038807199. The next prime is 853038807217. The reversal of 853038807201 is 102708830358.

The square root of 853038807201 is 923601.

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

853038807201 is a `hidden beast` number, since 8 + 530 + 38 + 80 + 7 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27739235601 + 825299571600 = 166551^2 + 908460^2 .

It is not a de Polignac number, because 853038807201 - 2¹ = 853038807199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (853038807301) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8281930116 + ... + 8281930218.

Almost surely, 2^853038807201 is an apocalyptic number.

853038807201 is the 923601-st square number.

853038807201 is the 461801-st centered octagonal number.

It is an amenable number.

853038807201 is a deficient number, since it is larger than the sum of its proper divisors (622681003026).

853038807201 is an frugal number, since it uses more digits than its factorization.

853038807201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 853038807201 in words is "eight hundred fifty-three billion, thirty-eight million, eight hundred seven thousand, two hundred one".