57762325623409 has 27 divisors (see below), whose sum is σ = 63686509349547. Its totient is φ = 52349853864000.

The previous prime is 57762325623397. The next prime is 57762325623437. The reversal of 57762325623409 is 90432652326775.

The square root of 57762325623409 is 7600153.

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

57762325623409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57187579689009 + 574745934400 = 7562247^2 + 758120^2 .

It is not a de Polignac number, because 57762325623409 - 2⁵ = 57762325623377 is a prime.

It is a super-2 number, since 2×57762325623409² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57762325623469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33524274022 + ... + 33524275744.

Almost surely, 2^{57762325623409} is an apocalyptic number.

57762325623409 is the 7600153-rd square number.

57762325623409 is the 3800077-th centered octagonal number.

It is an amenable number.

57762325623409 is a deficient number, since it is larger than the sum of its proper divisors (5924183726138).

57762325623409 is an frugal number, since it uses more digits than its factorization.

57762325623409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 61.

The spelling of 57762325623409 in words is "fifty-seven trillion, seven hundred sixty-two billion, three hundred twenty-five million, six hundred twenty-three thousand, four hundred nine".