4257656701281 has 27 divisors (see below), whose sum is σ = 6533151823731. Its totient is φ = 2671404842304.

The previous prime is 4257656701261. The next prime is 4257656701313. The reversal of 4257656701281 is 1821076567524.

It is a happy number.

The square root of 4257656701281 is 2063409.

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

4257656701281 is a `hidden beast` number, since 4 + 2 + 5 + 76 + 567 + 0 + 1 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3314784629025 + 942872072256 = 1820655^2 + 971016^2 .

It is not a de Polignac number, because 4257656701281 - 2²⁷ = 4257522483553 is a prime.

It is a super-2 number, since 2×4257656701281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4257656701201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105213630 + ... + 105254088.

Almost surely, 2^{4257656701281} is an apocalyptic number.

4257656701281 is the 2063409-th square number.

4257656701281 is the 1031705-th centered octagonal number.

It is an amenable number.

4257656701281 is a deficient number, since it is larger than the sum of its proper divisors (2275495122450).

4257656701281 is an frugal number, since it uses more digits than its factorization.

4257656701281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80958 (or 40479 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 4257656701281 in words is "four trillion, two hundred fifty-seven billion, six hundred fifty-six million, seven hundred one thousand, two hundred eighty-one".