1506610010601 has 32 divisors (see below), whose sum is σ = 2304875760000. Its totient is φ = 972047853504.

The previous prime is 1506610010579. The next prime is 1506610010603. The reversal of 1506610010601 is 1060100166051.

1506610010601 is a `hidden beast` number, since 1 + 50 + 6 + 6 + 1 + 0 + 0 + 1 + 0 + 601 = 666.

It is not a de Polignac number, because 1506610010601 - 2¹⁷ = 1506609879529 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 (1506610010603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5826126 + ... + 6079223.

It is an arithmetic number, because the mean of its divisors is an integer number (72027367500).

Almost surely, 2^{1506610010601} is an apocalyptic number.

It is an amenable number.

1506610010601 is a deficient number, since it is larger than the sum of its proper divisors (798265749399).

1506610010601 is a wasteful number, since it uses less digits than its factorization.

1506610010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905510 (or 11905504 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1506610010601 its reverse (1060100166051), we get a palindrome (2566710176652).

The spelling of 1506610010601 in words is "one trillion, five hundred six billion, six hundred ten million, ten thousand, six hundred one".