510105161601 has 64 divisors (see below), whose sum is σ = 902928691200. Its totient is φ = 278813986704.

The previous prime is 510105161569. The next prime is 510105161651. The reversal of 510105161601 is 106161501015.

510105161601 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 0 + 51 + 6 + 1 + 601 = 666.

It is not a de Polignac number, because 510105161601 - 2⁵ = 510105161569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (510105161651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2188650 + ... + 2410476.

It is an arithmetic number, because the mean of its divisors is an integer number (14108260800).

Almost surely, 2^510105161601 is an apocalyptic number.

It is an amenable number.

510105161601 is a deficient number, since it is larger than the sum of its proper divisors (392823529599).

510105161601 is an equidigital number, since it uses as much as digits as its factorization.

510105161601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221912 (or 221860 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 510105161601 its reverse (106161501015), we get a palindrome (616266662616).

The spelling of 510105161601 in words is "five hundred ten billion, one hundred five million, one hundred sixty-one thousand, six hundred one".