253628101 has 2 divisors, whose sum is σ = 253628102. Its totient is φ = 253628100.

The previous prime is 253628059. The next prime is 253628129. The reversal of 253628101 is 101826352.

It is an a-pointer prime, because the next prime (253628129) can be obtained adding 253628101 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251222500 + 2405601 = 15850^2 + 1551^2 .

It is a cyclic number.

It is not a de Polignac number, because 253628101 - 2¹⁵ = 253595333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253628101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253628191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126814050 + 126814051.

It is an arithmetic number, because the mean of its divisors is an integer number (126814051).

Almost surely, 2^253628101 is an apocalyptic number.

It is an amenable number.

253628101 is a deficient number, since it is larger than the sum of its proper divisors (1).

253628101 is an equidigital number, since it uses as much as digits as its factorization.

253628101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 253628101 is about 15925.7056672538. The cubic root of 253628101 is about 632.9933147779.

The spelling of 253628101 in words is "two hundred fifty-three million, six hundred twenty-eight thousand, one hundred one".