34212016251 has 20 divisors (see below), whose sum is σ = 58407817072. Its totient is φ = 19549723248.

The previous prime is 34212016249. The next prime is 34212016301. The reversal of 34212016251 is 15261021243.

34212016251 is a `hidden beast` number, since 34 + 2 + 1 + 2 + 0 + 1 + 625 + 1 = 666.

It is not a de Polignac number, because 34212016251 - 2¹ = 34212016249 is a prime.

It is a super-3 number, since 3×34212016251³ (a number of 33 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34212016211) 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 19 ways as a sum of consecutive naturals, for example, 30168760 + ... + 30169893.

Almost surely, 2^34212016251 is an apocalyptic number.

34212016251 is a deficient number, since it is larger than the sum of its proper divisors (24195800821).

34212016251 is an equidigital number, since it uses as much as digits as its factorization.

34212016251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60338672 (or 60338663 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34212016251 its reverse (15261021243), we get a palindrome (49473037494).

The spelling of 34212016251 in words is "thirty-four billion, two hundred twelve million, sixteen thousand, two hundred fifty-one".