57757765621609 has 27 divisors (see below), whose sum is σ = 59663242935543. Its totient is φ = 55912544112768.

The previous prime is 57757765621607. The next prime is 57757765621697. The reversal of 57757765621609 is 90612656775775.

The square root of 57757765621609 is 7599853.

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., 25935440509225 + 31822325112384 = 5092685^2 + 5641128^2 .

It is not a de Polignac number, because 57757765621609 - 2¹ = 57757765621607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57757765621601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34647728994 + ... + 34647730660.

Almost surely, 2^{57757765621609} is an apocalyptic number.

57757765621609 is the 7599853-rd square number.

57757765621609 is the 3799927-th centered octagonal number.

It is an amenable number.

57757765621609 is a deficient number, since it is larger than the sum of its proper divisors (1905477313934).

57757765621609 is an frugal number, since it uses more digits than its factorization.

57757765621609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1166886000, while the sum is 73.

The spelling of 57757765621609 in words is "fifty-seven trillion, seven hundred fifty-seven billion, seven hundred sixty-five million, six hundred twenty-one thousand, six hundred nine".