31637261339401 has 9 divisors (see below), whose sum is σ = 32390369693901. Its totient is φ = 30901274838252.

The previous prime is 31637261339291. The next prime is 31637261339407. The reversal of 31637261339401 is 10493316273613.

The square root of 31637261339401 is 5624701.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 31637261339401 - 2¹⁹ = 31637260815113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31637261339407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241796740 + ... + 241927546.

It is an arithmetic number, because the mean of its divisors is an integer number (3598929965989).

Almost surely, 2^{31637261339401} is an apocalyptic number.

31637261339401 is the 5624701-st square number.

31637261339401 is the 2812351-st centered octagonal number.

It is an amenable number.

31637261339401 is a deficient number, since it is larger than the sum of its proper divisors (753108354500).

31637261339401 is an frugal number, since it uses more digits than its factorization.

31637261339401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261700 (or 130850 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The spelling of 31637261339401 in words is "thirty-one trillion, six hundred thirty-seven billion, two hundred sixty-one million, three hundred thirty-nine thousand, four hundred one".