31628421825 has 288 divisors, whose sum is σ = 73718138880. Its totient is φ = 11597414400.

The previous prime is 31628421787. The next prime is 31628421829. The reversal of 31628421825 is 52812482613.

It is not a de Polignac number, because 31628421825 - 2⁷ = 31628421697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31628421829) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 22446721 + ... + 22448129.

It is an arithmetic number, because the mean of its divisors is an integer number (255965760).

Almost surely, 2^31628421825 is an apocalyptic number.

31628421825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31628421825 is an abundant number, since it is smaller than the sum of its proper divisors (42089717055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31628421825 is a wasteful number, since it uses less digits than its factorization.

31628421825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1471 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 31628421825 in words is "thirty-one billion, six hundred twenty-eight million, four hundred twenty-one thousand, eight hundred twenty-five".