57040246561 has 9 divisors (see below), whose sum is σ = 57335766579. Its totient is φ = 56746245600.

The previous prime is 57040246553. The next prime is 57040246589. The reversal of 57040246561 is 16564204075.

It is a happy number.

The square root of 57040246561 is 238831.

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

It can be written as a sum of positive squares in only one way, i.e., 42898280161 + 14141966400 = 207119^2 + 118920^2 .

It is not a de Polignac number, because 57040246561 - 2³ = 57040246553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57040240561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57557776 + ... + 57558766.

It is an arithmetic number, because the mean of its divisors is an integer number (6370640731).

Almost surely, 2^57040246561 is an apocalyptic number.

57040246561 is the 238831-st square number.

57040246561 is the 119416-th centered octagonal number.

It is an amenable number.

57040246561 is a deficient number, since it is larger than the sum of its proper divisors (295520018).

57040246561 is an frugal number, since it uses more digits than its factorization.

57040246561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

It can be divided in two parts, 57040 and 246561, that added together give a square (303601 = 551²).

The spelling of 57040246561 in words is "fifty-seven billion, forty million, two hundred forty-six thousand, five hundred sixty-one".