766064313001 has 15 divisors (see below), whose sum is σ = 830061044961. Its totient is φ = 706999749768.

The previous prime is 766064312983. The next prime is 766064313017. The reversal of 766064313001 is 100313460667.

It is a happy number.

The square root of 766064313001 is 875251.

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

It can be written as a sum of positive squares in 2 ways, for example, as 379826922601 + 386237390400 = 616301^2 + 621480^2 .

It is not a de Polignac number, because 766064313001 - 2⁷ = 766064312873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766064313031) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 147914830 + ... + 147920008.

Almost surely, 2^766064313001 is an apocalyptic number.

766064313001 is the 875251-st square number.

766064313001 is the 437626-th centered octagonal number.

It is an amenable number.

766064313001 is a deficient number, since it is larger than the sum of its proper divisors (63996731960).

766064313001 is an frugal number, since it uses more digits than its factorization.

766064313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

Adding to 766064313001 its reverse (100313460667), we get a palindrome (866377773668).

The spelling of 766064313001 in words is "seven hundred sixty-six billion, sixty-four million, three hundred thirteen thousand, one".