57672502356341 has 2 divisors, whose sum is σ = 57672502356342. Its totient is φ = 57672502356340.

The previous prime is 57672502356307. The next prime is 57672502356367. The reversal of 57672502356341 is 14365320527675.

57672502356341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44169927434116 + 13502574922225 = 6646046^2 + 3674585^2 .

It is a cyclic number.

It is not a de Polignac number, because 57672502356341 - 2⁶ = 57672502356277 is a prime.

It is a super-2 number, since 2×57672502356341² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57672502356541) 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 as a sum of consecutive naturals, namely, 28836251178170 + 28836251178171.

It is an arithmetic number, because the mean of its divisors is an integer number (28836251178171).

Almost surely, 2^{57672502356341} is an apocalyptic number.

It is an amenable number.

57672502356341 is a deficient number, since it is larger than the sum of its proper divisors (1).

57672502356341 is an equidigital number, since it uses as much as digits as its factorization.

57672502356341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752000, while the sum is 56.

The spelling of 57672502356341 in words is "fifty-seven trillion, six hundred seventy-two billion, five hundred two million, three hundred fifty-six thousand, three hundred forty-one".