57617281296 has 135 divisors (see below), whose sum is σ = 163894570437. Its totient is φ = 18895633920.

The previous prime is 57617281283. The next prime is 57617281313. The reversal of 57617281296 is 69218271675.

The square root of 57617281296 is 240036.

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

57617281296 is a `hidden beast` number, since 5 + 7 + 617 + 2 + 8 + 12 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43332250896 + 14285030400 = 208164^2 + 119520^2 .

It is a super-2 number, since 2×57617281296² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239075736 + ... + 239075976.

Almost surely, 2^57617281296 is an apocalyptic number.

57617281296 is the 240036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57617281296

57617281296 is an abundant number, since it is smaller than the sum of its proper divisors (106277289141).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57617281296 is an equidigital number, since it uses as much as digits as its factorization.

57617281296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 329 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 57617281296 in words is "fifty-seven billion, six hundred seventeen million, two hundred eighty-one thousand, two hundred ninety-six".