101532521 has 2 divisors, whose sum is σ = 101532522. Its totient is φ = 101532520.

The previous prime is 101532463. The next prime is 101532527. The reversal of 101532521 is 125235101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101505625 + 26896 = 10075^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 101532521 - 2¹⁴ = 101516137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101532493 and 101532502.

It is not a weakly prime, because it can be changed into another prime (101532527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50766260 + 50766261.

It is an arithmetic number, because the mean of its divisors is an integer number (50766261).

Almost surely, 2^101532521 is an apocalyptic number.

It is an amenable number.

101532521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101532521 is an equidigital number, since it uses as much as digits as its factorization.

101532521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 101532521 is about 10076.3347006737. The cubic root of 101532521 is about 466.5179836427.

Adding to 101532521 its reverse (125235101), we get a palindrome (226767622).

The spelling of 101532521 in words is "one hundred one million, five hundred thirty-two thousand, five hundred twenty-one".