42205101213253 has 32 divisors (see below), whose sum is σ = 50714210471040. Its totient is φ = 34699195964160.

The previous prime is 42205101213217. The next prime is 42205101213269. The reversal of 42205101213253 is 35231210150224.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42205101213253 - 2³⁷ = 42067662259781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205101213283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51078750 + ... + 51898447.

It is an arithmetic number, because the mean of its divisors is an integer number (1584819077220).

Almost surely, 2^{42205101213253} is an apocalyptic number.

It is an amenable number.

42205101213253 is a deficient number, since it is larger than the sum of its proper divisors (8509109257787).

42205101213253 is a wasteful number, since it uses less digits than its factorization.

42205101213253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102977317.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 42205101213253 its reverse (35231210150224), we get a palindrome (77436311363477).

The spelling of 42205101213253 in words is "forty-two trillion, two hundred five billion, one hundred one million, two hundred thirteen thousand, two hundred fifty-three".