249585101 has 2 divisors, whose sum is σ = 249585102. Its totient is φ = 249585100.

The previous prime is 249585053. The next prime is 249585139. The reversal of 249585101 is 101585942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241180900 + 8404201 = 15530^2 + 2899^2 .

It is a cyclic number.

It is not a de Polignac number, because 249585101 - 2¹⁰ = 249584077 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249585191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124792550 + 124792551.

It is an arithmetic number, because the mean of its divisors is an integer number (124792551).

Almost surely, 2^249585101 is an apocalyptic number.

It is an amenable number.

249585101 is a deficient number, since it is larger than the sum of its proper divisors (1).

249585101 is an equidigital number, since it uses as much as digits as its factorization.

249585101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 249585101 is about 15798.2625943488. The cubic root of 249585101 is about 629.6118386610.

The spelling of 249585101 in words is "two hundred forty-nine million, five hundred eighty-five thousand, one hundred one".