442153010000325 has 48 divisors (see below), whose sum is σ = 787323849784640. Its totient is φ = 217657425646080.

The previous prime is 442153010000309. The next prime is 442153010000341. The reversal of 442153010000325 is 523000010351244.

It is an interprime number because it is at equal distance from previous prime (442153010000309) and next prime (442153010000341).

It is not a de Polignac number, because 442153010000325 - 2⁴ = 442153010000309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442153010000292 and 442153010000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6783280 + ... + 30501129.

Almost surely, 2^{442153010000325} is an apocalyptic number.

It is an amenable number.

442153010000325 is a deficient number, since it is larger than the sum of its proper divisors (345170839784315).

442153010000325 is a wasteful number, since it uses less digits than its factorization.

442153010000325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37296598 (or 37296593 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 442153010000325 its reverse (523000010351244), we get a palindrome (965153020351569).

The spelling of 442153010000325 in words is "four hundred forty-two trillion, one hundred fifty-three billion, ten million, three hundred twenty-five", and thus it is an aban number.