42451301003125 has 192 divisors, whose sum is σ = 66618236160000. Its totient is φ = 26374279680000.

The previous prime is 42451301003087. The next prime is 42451301003231. The reversal of 42451301003125 is 52130010315424.

It is not a de Polignac number, because 42451301003125 - 2¹¹ = 42451301001077 is a prime.

It is a super-4 number, since 4×42451301003125⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3763741236 + ... + 3763752514.

It is an arithmetic number, because the mean of its divisors is an integer number (346969980000).

Almost surely, 2^{42451301003125} is an apocalyptic number.

It is an amenable number.

42451301003125 is a deficient number, since it is larger than the sum of its proper divisors (24166935156875).

42451301003125 is a wasteful number, since it uses less digits than its factorization.

42451301003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11686 counting only the distinct ones).

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

Adding to 42451301003125 its reverse (52130010315424), we get a palindrome (94581311318549).

The spelling of 42451301003125 in words is "forty-two trillion, four hundred fifty-one billion, three hundred one million, three thousand, one hundred twenty-five".