57435890350609 has 9 divisors (see below), whose sum is σ = 58136863067643. Its totient is φ = 56743270222632.

The previous prime is 57435890350571. The next prime is 57435890350649. The reversal of 57435890350609 is 90605309853475.

The square root of 57435890350609 is 7578647.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 363002635009 + 57072887715600 = 602497^2 + 7554660^2 .

It is not a de Polignac number, because 57435890350609 - 2⁴¹ = 55236867095057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57435890350649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 628982047 + ... + 629073355.

Almost surely, 2^{57435890350609} is an apocalyptic number.

57435890350609 is the 7578647-th square number.

57435890350609 is the 3789324-th centered octagonal number.

It is an amenable number.

57435890350609 is a deficient number, since it is larger than the sum of its proper divisors (700972717034).

57435890350609 is an frugal number, since it uses more digits than its factorization.

57435890350609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182784 (or 91392 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

The spelling of 57435890350609 in words is "fifty-seven trillion, four hundred thirty-five billion, eight hundred ninety million, three hundred fifty thousand, six hundred nine".