1253101242399 has 32 divisors (see below), whose sum is σ = 1753281331200. Its totient is φ = 794574227040.

The previous prime is 1253101242391. The next prime is 1253101242403. The reversal of 1253101242399 is 9932421013521.

It is a happy number.

It is not a de Polignac number, because 1253101242399 - 2³ = 1253101242391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1253101242399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253101242391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35025082 + ... + 35060840.

It is an arithmetic number, because the mean of its divisors is an integer number (54790041600).

Almost surely, 2^{1253101242399} is an apocalyptic number.

1253101242399 is a deficient number, since it is larger than the sum of its proper divisors (500180088801).

1253101242399 is a wasteful number, since it uses less digits than its factorization.

1253101242399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38635.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 1253101242399 in words is "one trillion, two hundred fifty-three billion, one hundred one million, two hundred forty-two thousand, three hundred ninety-nine".