31051 has 2 divisors, whose sum is σ = 31052. Its totient is φ = 31050.

The previous prime is 31039. The next prime is 31063. The reversal of 31051 is 15013.

It is a balanced prime because it is at equal distance from previous prime (31039) and next prime (31063).

It is an emirp because it is prime and its reverse (15013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31051 - 2⁵ = 31019 is a prime.

31051 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (31081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15525 + 15526.

It is an arithmetic number, because the mean of its divisors is an integer number (15526).

2³¹⁰⁵¹ is an apocalyptic number.

31051 is a deficient number, since it is larger than the sum of its proper divisors (1).

31051 is an equidigital number, since it uses as much as digits as its factorization.

31051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 31051 is about 176.2129393660. The cubic root of 31051 is about 31.4310240117.

Adding to 31051 its reverse (15013), we get a palindrome (46064).

It can be divided in two parts, 310 and 51, that added together give a square (361 = 19²).

The spelling of 31051 in words is "thirty-one thousand, fifty-one".