31628772001 has 2 divisors, whose sum is σ = 31628772002. Its totient is φ = 31628772000.

The previous prime is 31628771969. The next prime is 31628772031. The reversal of 31628772001 is 10027782613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17742506401 + 13886265600 = 133201^2 + 117840^2 .

It is a cyclic number.

It is not a de Polignac number, because 31628772001 - 2⁵ = 31628771969 is a prime.

It is not a weakly prime, because it can be changed into another prime (31628772031) 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 as a sum of consecutive naturals, namely, 15814386000 + 15814386001.

It is an arithmetic number, because the mean of its divisors is an integer number (15814386001).

Almost surely, 2^31628772001 is an apocalyptic number.

It is an amenable number.

31628772001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31628772001 is an equidigital number, since it uses as much as digits as its factorization.

31628772001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 31628772001 in words is "thirty-one billion, six hundred twenty-eight million, seven hundred seventy-two thousand, one".