21214064325251 has 64 divisors (see below), whose sum is σ = 26733908736000. Its totient is φ = 16413481598976.

The previous prime is 21214064325221. The next prime is 21214064325281. The reversal of 21214064325251 is 15252346041212.

It is an interprime number because it is at equal distance from previous prime (21214064325221) and next prime (21214064325281).

It is not a de Polignac number, because 21214064325251 - 2³⁴ = 21196884456067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21214064325221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847431431 + ... + 847456463.

It is an arithmetic number, because the mean of its divisors is an integer number (417717324000).

Almost surely, 2^{21214064325251} is an apocalyptic number.

21214064325251 is a deficient number, since it is larger than the sum of its proper divisors (5519844410749).

21214064325251 is a wasteful number, since it uses less digits than its factorization.

21214064325251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 21214064325251 in words is "twenty-one trillion, two hundred fourteen billion, sixty-four million, three hundred twenty-five thousand, two hundred fifty-one".