1268512641 has 24 divisors (see below), whose sum is σ = 2005427424. Its totient is φ = 766272960.

The previous prime is 1268512627. The next prime is 1268512643. The reversal of 1268512641 is 1462158621.

It is a happy number.

1268512641 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 1 + 2 + 641 = 666.

It is not a de Polignac number, because 1268512641 - 2¹³ = 1268504449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1268512596 and 1268512605.

It is not an unprimeable number, because it can be changed into a prime (1268512643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9525 + ... + 51261.

It is an arithmetic number, because the mean of its divisors is an integer number (83559476).

Almost surely, 2^1268512641 is an apocalyptic number.

1268512641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1268512641 is a deficient number, since it is larger than the sum of its proper divisors (736914783).

1268512641 is a wasteful number, since it uses less digits than its factorization.

1268512641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42061 (or 42058 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1268512641 is about 35616.1850989125. The cubic root of 1268512641 is about 1082.5092094575.

The spelling of 1268512641 in words is "one billion, two hundred sixty-eight million, five hundred twelve thousand, six hundred forty-one".