852016401 has 20 divisors (see below), whose sum is σ = 1290700224. Its totient is φ = 560007000.

The previous prime is 852016381. The next prime is 852016469. The reversal of 852016401 is 104610258.

It is not a de Polignac number, because 852016401 - 2⁶ = 852016337 is a prime.

It is a super-3 number, since 3×852016401³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

852016401 is a modest number, since divided by 16401 gives 852 as remainder.

It is not an unprimeable number, because it can be changed into a prime (852016481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68325 + ... + 79826.

Almost surely, 2^852016401 is an apocalyptic number.

852016401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

852016401 is a deficient number, since it is larger than the sum of its proper divisors (438683823).

852016401 is a wasteful number, since it uses less digits than its factorization.

852016401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148234 (or 148225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 852016401 is about 29189.3199818016. The cubic root of 852016401 is about 948.0166937454.

Adding to 852016401 its reverse (104610258), we get a palindrome (956626659).

The spelling of 852016401 in words is "eight hundred fifty-two million, sixteen thousand, four hundred one".