31053135961 has 9 divisors (see below), whose sum is σ = 31208095839. Its totient is φ = 30898944336.

The previous prime is 31053135943. The next prime is 31053135973. The reversal of 31053135961 is 16953135013.

The square root of 31053135961 is 176219.

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., 198105625 + 30855030336 = 14075^2 + 175656^2 .

It is not a de Polignac number, because 31053135961 - 2⁵ = 31053135929 is a prime.

It is a super-3 number, since 3×31053135961³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31053135961.

It is not an unprimeable number, because it can be changed into a prime (31053135941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55156266 + ... + 55156828.

Almost surely, 2^31053135961 is an apocalyptic number.

31053135961 is the 176219-th square number.

31053135961 is the 88110-th centered octagonal number.

It is an amenable number.

31053135961 is a deficient number, since it is larger than the sum of its proper divisors (154959878).

31053135961 is an frugal number, since it uses more digits than its factorization.

31053135961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 37.

The spelling of 31053135961 in words is "thirty-one billion, fifty-three million, one hundred thirty-five thousand, nine hundred sixty-one".