251416206401 has 4 divisors (see below), whose sum is σ = 251641289172. Its totient is φ = 251191123632.

The previous prime is 251416206397. The next prime is 251416206439. The reversal of 251416206401 is 104602614152.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 42786508801 + 208629697600 = 206849^2 + 456760^2 .

It is a cyclic number.

It is not a de Polignac number, because 251416206401 - 2² = 251416206397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251416506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112539710 + ... + 112541943.

It is an arithmetic number, because the mean of its divisors is an integer number (62910322293).

Almost surely, 2^251416206401 is an apocalyptic number.

It is an amenable number.

251416206401 is a deficient number, since it is larger than the sum of its proper divisors (225082771).

251416206401 is a wasteful number, since it uses less digits than its factorization.

251416206401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225082770.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 251416206401 in words is "two hundred fifty-one billion, four hundred sixteen million, two hundred six thousand, four hundred one".