525101 has 2 divisors, whose sum is σ = 525102. Its totient is φ = 525100.

The previous prime is 525043. The next prime is 525127. The reversal of 525101 is 101525.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 133225 = 626^2 + 365^2 .

It is a cyclic number.

It is not a de Polignac number, because 525101 - 2¹⁸ = 262957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (525191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262550 + 262551.

It is an arithmetic number, because the mean of its divisors is an integer number (262551).

2⁵²⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

525101 is a deficient number, since it is larger than the sum of its proper divisors (1).

525101 is an equidigital number, since it uses as much as digits as its factorization.

525101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 525101 is about 724.6385305792. The cubic root of 525101 is about 80.6766051852.

Adding to 525101 its reverse (101525), we get a palindrome (626626).

It can be divided in two parts, 525 and 101, that added together give a palindrome (626).

The spelling of 525101 in words is "five hundred twenty-five thousand, one hundred one".