102405610253 has 2 divisors, whose sum is σ = 102405610254. Its totient is φ = 102405610252.

The previous prime is 102405610247. The next prime is 102405610261. The reversal of 102405610253 is 352016504201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95257415044 + 7148195209 = 308638^2 + 84547^2 .

It is a cyclic number.

It is not a de Polignac number, because 102405610253 - 2¹⁸ = 102405348109 is a prime.

It is a super-2 number, since 2×102405610253² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102405610283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51202805126 + 51202805127.

It is an arithmetic number, because the mean of its divisors is an integer number (51202805127).

Almost surely, 2^102405610253 is an apocalyptic number.

It is an amenable number.

102405610253 is a deficient number, since it is larger than the sum of its proper divisors (1).

102405610253 is an equidigital number, since it uses as much as digits as its factorization.

102405610253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 102405610253 in words is "one hundred two billion, four hundred five million, six hundred ten thousand, two hundred fifty-three".