31125074929 has 27 divisors (see below), whose sum is σ = 34650251937. Its totient is φ = 27945403200.

The previous prime is 31125074923. The next prime is 31125074947. The reversal of 31125074929 is 92947052113.

The square root of 31125074929 is 176423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20731680225 + 10393394704 = 143985^2 + 101948^2 .

It is not a de Polignac number, because 31125074929 - 2¹⁹ = 31124550641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31125074923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94033294 + ... + 94033624.

Almost surely, 2^31125074929 is an apocalyptic number.

31125074929 is the 176423-rd square number.

31125074929 is the 88212-nd centered octagonal number.

It is an amenable number.

31125074929 is a deficient number, since it is larger than the sum of its proper divisors (3525177008).

31125074929 is an frugal number, since it uses more digits than its factorization.

31125074929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 31125074929 in words is "thirty-one billion, one hundred twenty-five million, seventy-four thousand, nine hundred twenty-nine".