57677601241 has 8 divisors (see below), whose sum is σ = 65768124744. Its totient is φ = 50109047040.

The previous prime is 57677601203. The next prime is 57677601253. The reversal of 57677601241 is 14210677675.

It can be written as a sum of positive squares in 4 ways, for example, as 9937099225 + 47740502016 = 99685^2 + 218496^2 .

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

It is not a de Polignac number, because 57677601241 - 2²⁵ = 57644046809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57677601191 and 57677601200.

It is not an unprimeable number, because it can be changed into a prime (57677901241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130492090 + ... + 130492531.

It is an arithmetic number, because the mean of its divisors is an integer number (8221015593).

Almost surely, 2^57677601241 is an apocalyptic number.

It is an amenable number.

57677601241 is a deficient number, since it is larger than the sum of its proper divisors (8090523503).

57677601241 is a wasteful number, since it uses less digits than its factorization.

57677601241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260984651.

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 57677601241 in words is "fifty-seven billion, six hundred seventy-seven million, six hundred one thousand, two hundred forty-one".