31124738892025 has 27 divisors (see below), whose sum is σ = 39000051799821. Its totient is φ = 24640949917440.

The previous prime is 31124738892001. The next prime is 31124738892083. The reversal of 31124738892025 is 52029883742113.

It is a happy number.

The square root of 31124738892025 is 5578955.

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 1144427108841 + 29980311783184 = 1069779^2 + 5475428^2 .

It is not a de Polignac number, because 31124738892025 - 2⁹ = 31124738891513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2705787424 + ... + 2705798926.

Almost surely, 2^{31124738892025} is an apocalyptic number.

31124738892025 is the 5578955-th square number.

31124738892025 is the 2789478-th centered octagonal number.

It is an amenable number.

31124738892025 is a deficient number, since it is larger than the sum of its proper divisors (7875312907796).

31124738892025 is an frugal number, since it uses more digits than its factorization.

31124738892025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23210 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 31124738892025 in words is "thirty-one trillion, one hundred twenty-four billion, seven hundred thirty-eight million, eight hundred ninety-two thousand, twenty-five".