31874746225 has 27 divisors (see below), whose sum is σ = 45986710401. Its totient is φ = 21852684000.

The previous prime is 31874746193. The next prime is 31874746231. The reversal of 31874746225 is 52264747813.

The square root of 31874746225 is 178535.

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 19790581041 + 12084165184 = 140679^2 + 109928^2 .

It is not a de Polignac number, because 31874746225 - 2⁵ = 31874746193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6246175 + ... + 6251275.

Almost surely, 2^31874746225 is an apocalyptic number.

31874746225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31874746225 is the 178535-th square number.

31874746225 is the 89268-th centered octagonal number.

It is an amenable number.

31874746225 is a deficient number, since it is larger than the sum of its proper divisors (14111964176).

31874746225 is an frugal number, since it uses more digits than its factorization.

31874746225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 5113 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

Multiplying 31874746225 by its sum of digits (49), we get a square (1561862565025 = 1249745²).

31874746225 divided by its sum of digits (49) gives a square (650505025 = 25505²).

The spelling of 31874746225 in words is "thirty-one billion, eight hundred seventy-four million, seven hundred forty-six thousand, two hundred twenty-five".