10712457001 has 27 divisors (see below), whose sum is σ = 11497103319. Its totient is φ = 9980808432.

The previous prime is 10712456987. The next prime is 10712457017. The reversal of 10712457001 is 10075421701.

The square root of 10712457001 is 103501.

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., 5617352601 + 5095104400 = 74949^2 + 71380^2 .

It is not a de Polignac number, because 10712457001 - 2¹⁷ = 10712325929 is a prime.

It is a super-3 number, since 3×10712457001³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10712452001) 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, 129065706 + ... + 129065788.

Almost surely, 2^10712457001 is an apocalyptic number.

10712457001 is the 103501-st square number.

10712457001 is the 51751-st centered octagonal number.

It is an amenable number.

10712457001 is a deficient number, since it is larger than the sum of its proper divisors (784646318).

10712457001 is an frugal number, since it uses more digits than its factorization.

10712457001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 10712457001 its reverse (10075421701), we get a palindrome (20787878702).

It can be divided in two parts, 1071245 and 7001, that added together give a triangular number (1078246 = T₁₄₆₈).

The spelling of 10712457001 in words is "ten billion, seven hundred twelve million, four hundred fifty-seven thousand, one".