31462600129 has 9 divisors (see below), whose sum is σ = 31836058473. Its totient is φ = 31093478592.

The previous prime is 31462600097. The next prime is 31462600159. The reversal of 31462600129 is 92100626413.

It is a happy number.

The square root of 31462600129 is 177377.

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 258084225 + 31204515904 = 16065^2 + 176648^2 .

It is not a de Polignac number, because 31462600129 - 2⁵ = 31462600097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31462600094 and 31462600103.

It is not an unprimeable number, because it can be changed into a prime (31462600159) 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, 15785557 + ... + 15787549.

Almost surely, 2^31462600129 is an apocalyptic number.

31462600129 is the 177377-th square number.

31462600129 is the 88689-th centered octagonal number.

It is an amenable number.

31462600129 is a deficient number, since it is larger than the sum of its proper divisors (373458344).

31462600129 is an frugal number, since it uses more digits than its factorization.

31462600129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 31462600129 in words is "thirty-one billion, four hundred sixty-two million, six hundred thousand, one hundred twenty-nine".