3625561561167 has 128 divisors (see below), whose sum is σ = 6685332326400. Its totient is φ = 1890835550208.

The previous prime is 3625561561151. The next prime is 3625561561183. The reversal of 3625561561167 is 7611651655263.

3625561561167 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 5 + 6 + 15 + 611 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (3625561561151) and next prime (3625561561183).

It is not a de Polignac number, because 3625561561167 - 2⁴ = 3625561561151 is a prime.

It is a super-3 number, since 3×3625561561167³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625561561147) 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 in 127 ways as a sum of consecutive naturals, for example, 266206684 + ... + 266220302.

It is an arithmetic number, because the mean of its divisors is an integer number (52229158800).

Almost surely, 2^{3625561561167} is an apocalyptic number.

3625561561167 is a deficient number, since it is larger than the sum of its proper divisors (3059770765233).

3625561561167 is a wasteful number, since it uses less digits than its factorization.

3625561561167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14856 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 3625561561167 in words is "three trillion, six hundred twenty-five billion, five hundred sixty-one million, five hundred sixty-one thousand, one hundred sixty-seven".