252806101 has 2 divisors, whose sum is σ = 252806102. Its totient is φ = 252806100.

The previous prime is 252806093. The next prime is 252806107. The reversal of 252806101 is 101608252.

252806101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247307076 + 5499025 = 15726^2 + 2345^2 .

It is a cyclic number.

It is not a de Polignac number, because 252806101 - 2³ = 252806093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252806107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126403050 + 126403051.

It is an arithmetic number, because the mean of its divisors is an integer number (126403051).

Almost surely, 2^252806101 is an apocalyptic number.

It is an amenable number.

252806101 is a deficient number, since it is larger than the sum of its proper divisors (1).

252806101 is an equidigital number, since it uses as much as digits as its factorization.

252806101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 252806101 is about 15899.8773894644. The cubic root of 252806101 is about 632.3087381207.

The spelling of 252806101 in words is "two hundred fifty-two million, eight hundred six thousand, one hundred one".