1334513961 has 81 divisors (see below), whose sum is σ = 2255153719. Its totient is φ = 789069600.

The previous prime is 1334513933. The next prime is 1334513993. The reversal of 1334513961 is 1693154331.

It is a happy number.

The square root of 1334513961 is 36531.

It is a perfect power (a square), and thus also a powerful number.

1334513961 is a `hidden beast` number, since 133 + 4 + 513 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64304361 + 1270209600 = 8019^2 + 35640^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1334513961 - 2⁷ = 1334513833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1334513261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32549101 + ... + 32549141.

Almost surely, 2^1334513961 is an apocalyptic number.

1334513961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334513961 is the 36531-st square number.

1334513961 is the 18266-th centered octagonal number.

It is an amenable number.

1334513961 is a deficient number, since it is larger than the sum of its proper divisors (920639758).

1334513961 is an frugal number, since it uses more digits than its factorization.

1334513961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 55 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The cubic root of 1334513961 is about 1100.9671826820.

Multiplying 1334513961 by its sum of digits (36), we get a square (48042502596 = 219186²).

The spelling of 1334513961 in words is "one billion, three hundred thirty-four million, five hundred thirteen thousand, nine hundred sixty-one".