1268516001 has 16 divisors (see below), whose sum is σ = 1747793408. Its totient is φ = 817516800.

The previous prime is 1268515993. The next prime is 1268516009. The reversal of 1268516001 is 1006158621.

It is an interprime number because it is at equal distance from previous prime (1268515993) and next prime (1268516009).

It is not a de Polignac number, because 1268516001 - 2³ = 1268515993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1268516001.

It is not an unprimeable number, because it can be changed into a prime (1268516009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85881 + ... + 99561.

It is an arithmetic number, because the mean of its divisors is an integer number (109237088).

Almost surely, 2^1268516001 is an apocalyptic number.

It is an amenable number.

1268516001 is a deficient number, since it is larger than the sum of its proper divisors (479277407).

1268516001 is a wasteful number, since it uses less digits than its factorization.

1268516001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1268516001 is about 35616.2322684475. The cubic root of 1268516001 is about 1082.5101652298.

The spelling of 1268516001 in words is "one billion, two hundred sixty-eight million, five hundred sixteen thousand, one".