851596752401 has 8 divisors (see below), whose sum is σ = 863280089544. Its totient is φ = 839913891840.

The previous prime is 851596752397. The next prime is 851596752427. The reversal of 851596752401 is 104257695158.

It is a Cunningham number, because it is equal to 922820²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 400785221776 + 450811530625 = 633076^2 + 671425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 851596752401 - 2² = 851596752397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (851596752481) 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 7 ways as a sum of consecutive naturals, for example, 4944821 + ... + 5114141.

It is an arithmetic number, because the mean of its divisors is an integer number (107910011193).

Almost surely, 2^851596752401 is an apocalyptic number.

It is an amenable number.

851596752401 is a deficient number, since it is larger than the sum of its proper divisors (11683337143).

851596752401 is a wasteful number, since it uses less digits than its factorization.

851596752401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238291.

The product of its (nonzero) digits is 3024000, while the sum is 53.

The spelling of 851596752401 in words is "eight hundred fifty-one billion, five hundred ninety-six million, seven hundred fifty-two thousand, four hundred one".