10597261249 has 9 divisors (see below), whose sum is σ = 10703621539. Its totient is φ = 10491950560.

The previous prime is 10597261243. The next prime is 10597261277. The reversal of 10597261249 is 94216279501.

The square root of 10597261249 is 102943.

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., 186732225 + 10410529024 = 13665^2 + 102032^2 .

It is not a de Polignac number, because 10597261249 - 2⁵ = 10597261217 is a prime.

It is a super-2 number, since 2×10597261249² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10597261199 and 10597261208.

It is not an unprimeable number, because it can be changed into a prime (10597261243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11632104 + ... + 11633014.

Almost surely, 2^10597261249 is an apocalyptic number.

10597261249 is the 102943-rd square number.

10597261249 is the 51472-nd centered octagonal number.

It is an amenable number.

10597261249 is a deficient number, since it is larger than the sum of its proper divisors (106360290).

10597261249 is an frugal number, since it uses more digits than its factorization.

10597261249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 10597261249 in words is "ten billion, five hundred ninety-seven million, two hundred sixty-one thousand, two hundred forty-nine".