31005363461 has 2 divisors, whose sum is σ = 31005363462. Its totient is φ = 31005363460.

The previous prime is 31005363451. The next prime is 31005363469. The reversal of 31005363461 is 16436350013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23247100900 + 7758262561 = 152470^2 + 88081^2 .

It is a cyclic number.

It is not a de Polignac number, because 31005363461 - 2²⁶ = 30938254597 is a prime.

It is a super-2 number, since 2×31005363461² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31005363469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15502681730 + 15502681731.

It is an arithmetic number, because the mean of its divisors is an integer number (15502681731).

Almost surely, 2^31005363461 is an apocalyptic number.

It is an amenable number.

31005363461 is a deficient number, since it is larger than the sum of its proper divisors (1).

31005363461 is an equidigital number, since it uses as much as digits as its factorization.

31005363461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 31005363461 in words is "thirty-one billion, five million, three hundred sixty-three thousand, four hundred sixty-one".