1521661167 has 64 divisors (see below), whose sum is σ = 2545804800. Its totient is φ = 891959040.

The previous prime is 1521661147. The next prime is 1521661201. The reversal of 1521661167 is 7611661251.

It is a happy number.

1521661167 is a `hidden beast` number, since 1 + 521 + 66 + 11 + 67 = 666.

It is not a de Polignac number, because 1521661167 - 2⁷ = 1521661039 is a prime.

It is a super-3 number, since 3×1521661167³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521661147) 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 63 ways as a sum of consecutive naturals, for example, 617584 + ... + 620042.

It is an arithmetic number, because the mean of its divisors is an integer number (39778200).

Almost surely, 2^1521661167 is an apocalyptic number.

1521661167 is a deficient number, since it is larger than the sum of its proper divisors (1024143633).

1521661167 is a wasteful number, since it uses less digits than its factorization.

1521661167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1521661167 is about 39008.4755790328. The cubic root of 1521661167 is about 1150.1981175999.

The spelling of 1521661167 in words is "one billion, five hundred twenty-one million, six hundred sixty-one thousand, one hundred sixty-seven".