1564416121 has 6 divisors (see below), whose sum is σ = 1583498570. Its totient is φ = 1545560928.

The previous prime is 1564416083. The next prime is 1564416149. The reversal of 1564416121 is 1216144651.

It can be written as a sum of positive squares in only one way, i.e., 1333710400 + 230705721 = 36520^2 + 15189^2 .

It is not a de Polignac number, because 1564416121 - 2⁹ = 1564415609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1564416521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106656 + ... + 120433.

Almost surely, 2^1564416121 is an apocalyptic number.

It is an amenable number.

1564416121 is a deficient number, since it is larger than the sum of its proper divisors (19082449).

1564416121 is an frugal number, since it uses more digits than its factorization.

1564416121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227255 (or 227172 counting only the distinct ones).

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

The square root of 1564416121 is about 39552.7005525539. The cubic root of 1564416121 is about 1160.8713530833.

The spelling of 1564416121 in words is "one billion, five hundred sixty-four million, four hundred sixteen thousand, one hundred twenty-one".