57695129424361 has 27 divisors (see below), whose sum is σ = 68671729293573. Its totient is φ = 48414581735520.

The previous prime is 57695129424343. The next prime is 57695129424367. The reversal of 57695129424361 is 16342492159675.

The square root of 57695129424361 is 7595731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1626183497961 + 56068945926400 = 1275219^2 + 7487920^2 .

It is not a de Polignac number, because 57695129424361 - 2⁵ = 57695129424329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57695129424293 and 57695129424302.

It is not an unprimeable number, because it can be changed into a prime (57695129424367) 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, 1086162975 + ... + 1086216091.

Almost surely, 2^{57695129424361} is an apocalyptic number.

57695129424361 is the 7595731-st square number.

57695129424361 is the 3797866-th centered octagonal number.

It is an amenable number.

57695129424361 is a deficient number, since it is larger than the sum of its proper divisors (10976599869212).

57695129424361 is an frugal number, since it uses more digits than its factorization.

57695129424361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106282 (or 53141 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

The spelling of 57695129424361 in words is "fifty-seven trillion, six hundred ninety-five billion, one hundred twenty-nine million, four hundred twenty-four thousand, three hundred sixty-one".