101521253 has 2 divisors, whose sum is σ = 101521254. Its totient is φ = 101521252.

The previous prime is 101521213. The next prime is 101521283. The reversal of 101521253 is 352125101.

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., 82319329 + 19201924 = 9073^2 + 4382^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101521253 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101521213) 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, 50760626 + 50760627.

It is an arithmetic number, because the mean of its divisors is an integer number (50760627).

Almost surely, 2^101521253 is an apocalyptic number.

It is an amenable number.

101521253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101521253 is an equidigital number, since it uses as much as digits as its factorization.

101521253 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101521253 is about 10075.7755532763. The cubic root of 101521253 is about 466.5007250703.

Adding to 101521253 its reverse (352125101), we get a palindrome (453646354).

The spelling of 101521253 in words is "one hundred one million, five hundred twenty-one thousand, two hundred fifty-three".