201853516851 has 24 divisors (see below), whose sum is σ = 333541185120. Its totient is φ = 115233169536.

The previous prime is 201853516847. The next prime is 201853516853. The reversal of 201853516851 is 158615358102.

201853516851 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 53 + 516 + 85 + 1 = 666.

It is not a de Polignac number, because 201853516851 - 2² = 201853516847 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201853516797 and 201853516806.

It is not an unprimeable number, because it can be changed into a prime (201853516853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485756 + ... + 1615913.

It is an arithmetic number, because the mean of its divisors is an integer number (13897549380).

Almost surely, 2^201853516851 is an apocalyptic number.

201853516851 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201853516851 is a deficient number, since it is larger than the sum of its proper divisors (131687668269).

201853516851 is a wasteful number, since it uses less digits than its factorization.

201853516851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102715 (or 3102712 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 201853516851 in words is "two hundred one billion, eight hundred fifty-three million, five hundred sixteen thousand, eight hundred fifty-one".