57661545431061 has 128 divisors (see below), whose sum is σ = 101974946734080. Its totient is φ = 31740562022400.

The previous prime is 57661545431057. The next prime is 57661545431071. The reversal of 57661545431061 is 16013454516675.

57661545431061 is a `hidden beast` number, since 5 + 7 + 6 + 6 + 1 + 545 + 4 + 31 + 0 + 61 = 666.

It is not a de Polignac number, because 57661545431061 - 2² = 57661545431057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57661545430989 and 57661545431007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57661545431041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137678805 + ... + 138096981.

It is an arithmetic number, because the mean of its divisors is an integer number (796679271360).

Almost surely, 2^{57661545431061} is an apocalyptic number.

It is an amenable number.

57661545431061 is a deficient number, since it is larger than the sum of its proper divisors (44313401303019).

57661545431061 is a wasteful number, since it uses less digits than its factorization.

57661545431061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418784 (or 418778 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 57661545431061 in words is "fifty-seven trillion, six hundred sixty-one billion, five hundred forty-five million, four hundred thirty-one thousand, sixty-one".