31008270209049 has 405 divisors, whose sum is σ = 57665201407359. Its totient is φ = 16670773516320.

The previous prime is 31008270209029. The next prime is 31008270209131. The reversal of 31008270209049 is 94090207280013.

The square root of 31008270209049 is 5568507.

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

31008270209049 is a `hidden beast` number, since 310 + 0 + 8 + 270 + 20 + 9 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1008331280649 + 29999938928400 = 1004157^2 + 5477220^2 .

It is not a de Polignac number, because 31008270209049 - 2⁷ = 31008270208921 is a prime.

It is a super-2 number, since 2×31008270209049² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31008270208995 and 31008270209013.

It is not an unprimeable number, because it can be changed into a prime (31008270209029) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 508332298479 + ... + 508332298539.

Almost surely, 2^{31008270209049} is an apocalyptic number.

31008270209049 is the 5568507-th square number.

31008270209049 is the 2784254-th centered octagonal number.

It is an amenable number.

31008270209049 is a deficient number, since it is larger than the sum of its proper divisors (26656931198310).

31008270209049 is an frugal number, since it uses more digits than its factorization.

31008270209049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31008270209049 in words is "thirty-one trillion, eight billion, two hundred seventy million, two hundred nine thousand, forty-nine".