5704688625601 has 27 divisors (see below), whose sum is σ = 7049736612387. Its totient is φ = 4601872457280.

The previous prime is 5704688625583. The next prime is 5704688625631. The reversal of 5704688625601 is 1065268864075.

It is a happy number.

The square root of 5704688625601 is 2388449.

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., 4441366577025 + 1263322048576 = 2107455^2 + 1123976^2 .

It is not a de Polignac number, because 5704688625601 - 2⁷ = 5704688625473 is a prime.

It is a super-2 number, since 2×5704688625601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5704688625631) 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, 284215396 + ... + 284235466.

Almost surely, 2^{5704688625601} is an apocalyptic number.

5704688625601 is the 2388449-th square number.

5704688625601 is the 1194225-th centered octagonal number.

It is an amenable number.

5704688625601 is a deficient number, since it is larger than the sum of its proper divisors (1345047986786).

5704688625601 is an frugal number, since it uses more digits than its factorization.

5704688625601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40190 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 5704688625601 in words is "five trillion, seven hundred four billion, six hundred eighty-eight million, six hundred twenty-five thousand, six hundred one".