10267971561 has 39 divisors (see below), whose sum is σ = 15513550221. Its totient is φ = 6796067508.

The previous prime is 10267971547. The next prime is 10267971587. The reversal of 10267971561 is 16517976201.

The square root of 10267971561 is 101331.

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

10267971561 is a `hidden beast` number, since 10 + 2 + 6 + 7 + 9 + 71 + 561 = 666.

It is not a de Polignac number, because 10267971561 - 2²⁹ = 9731100649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10267971521) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 73870230 + ... + 73870368.

It is an arithmetic number, because the mean of its divisors is an integer number (397783339).

Almost surely, 2^10267971561 is an apocalyptic number.

10267971561 is the 101331-st square number.

10267971561 is the 50666-th centered octagonal number.

It is an amenable number.

10267971561 is a deficient number, since it is larger than the sum of its proper divisors (5245578660).

10267971561 is an frugal number, since it uses more digits than its factorization.

10267971561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 10267971561 in words is "ten billion, two hundred sixty-seven million, nine hundred seventy-one thousand, five hundred sixty-one".