42451301003225 has 12 divisors (see below), whose sum is σ = 52734118850604. Its totient is φ = 33900069443520.

The previous prime is 42451301003087. The next prime is 42451301003231. The reversal of 42451301003225 is 52230010315424.

It can be written as a sum of positive squares in 6 ways, for example, as 6970825013824 + 35480475989401 = 2640232^2 + 5956549^2 .

It is not a de Polignac number, because 42451301003225 - 2³⁶ = 42382581526489 is a prime.

It is a super-4 number, since 4×42451301003225⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42451301003191 and 42451301003200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524269774 + ... + 1524297623.

It is an arithmetic number, because the mean of its divisors is an integer number (4394509904217).

Almost surely, 2^{42451301003225} is an apocalyptic number.

It is an amenable number.

42451301003225 is a deficient number, since it is larger than the sum of its proper divisors (10282817847379).

42451301003225 is a wasteful number, since it uses less digits than its factorization.

42451301003225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048567964 (or 3048567959 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 42451301003225 its reverse (52230010315424), we get a palindrome (94681311318649).

The spelling of 42451301003225 in words is "forty-two trillion, four hundred fifty-one billion, three hundred one million, three thousand, two hundred twenty-five".