59051 has 2 divisors, whose sum is σ = 59052. Its totient is φ = 59050.

The previous prime is 59029. The next prime is 59053. The reversal of 59051 is 15095.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 59051 - 2¹⁰ = 58027 is a prime.

Together with 59053, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59051.

It is not a weakly prime, because it can be changed into another prime (59053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29525 + 29526.

It is an arithmetic number, because the mean of its divisors is an integer number (29526).

59051 is a Friedman number, since it can be written as 9^5+10/5, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁵¹ is an apocalyptic number.

59051 is a deficient number, since it is larger than the sum of its proper divisors (1).

59051 is an equidigital number, since it uses as much as digits as its factorization.

59051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 59051 is about 243.0041151915. The cubic root of 59051 is about 38.9411780366.

Subtracting from 59051 its reverse (15095), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 59051 in words is "fifty-nine thousand, fifty-one".