10295957961 has 27 divisors (see below), whose sum is σ = 15038669191. Its totient is φ = 6787870224.

The previous prime is 10295957953. The next prime is 10295957963. The reversal of 10295957961 is 16975959201.

The square root of 10295957961 is 101469.

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

10295957961 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 9 + 579 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1206242361 + 9089715600 = 34731^2 + 95340^2 .

It is not a de Polignac number, because 10295957961 - 2³ = 10295957953 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10295957898 and 10295957907.

It is not an unprimeable number, because it can be changed into a prime (10295957963) 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, 45356530 + ... + 45356756.

Almost surely, 2^10295957961 is an apocalyptic number.

10295957961 is the 101469-th square number.

10295957961 is the 50735-th centered octagonal number.

It is an amenable number.

10295957961 is a deficient number, since it is larger than the sum of its proper divisors (4742711230).

10295957961 is an frugal number, since it uses more digits than its factorization.

10295957961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

It can be divided in two parts, 10295 and 957961, that added together give a square (968256 = 984²).

The spelling of 10295957961 in words is "ten billion, two hundred ninety-five million, nine hundred fifty-seven thousand, nine hundred sixty-one".