4151610624001 has 2 divisors, whose sum is σ = 4151610624002. Its totient is φ = 4151610624000.

The previous prime is 4151610623989. The next prime is 4151610624053. The reversal of 4151610624001 is 1004260161514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3817901063025 + 333709560976 = 1953945^2 + 577676^2 .

It is a cyclic number.

It is not a de Polignac number, because 4151610624001 - 2²³ = 4151602235393 is a prime.

It is not a weakly prime, because it can be changed into another prime (4151610624901) 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 as a sum of consecutive naturals, namely, 2075805312000 + 2075805312001.

It is an arithmetic number, because the mean of its divisors is an integer number (2075805312001).

Almost surely, 2^{4151610624001} is an apocalyptic number.

It is an amenable number.

4151610624001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4151610624001 is an equidigital number, since it uses as much as digits as its factorization.

4151610624001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 4151610624001 its reverse (1004260161514), we get a palindrome (5155870785515).

The spelling of 4151610624001 in words is "four trillion, one hundred fifty-one billion, six hundred ten million, six hundred twenty-four thousand, one".