1065505251664 has 30 divisors (see below), whose sum is σ = 2401464006474. Its totient is φ = 456645107520.

The previous prime is 1065505251617. The next prime is 1065505251667. The reversal of 1065505251664 is 4661525055601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1065478128400 + 27123264 = 1032220^2 + 5208^2 .

It is a super-2 number, since 2×1065505251664² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065505251667) 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, 679530627 + ... + 679532194.

Almost surely, 2^{1065505251664} is an apocalyptic number.

1065505251664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1065505251664 is an abundant number, since it is smaller than the sum of its proper divisors (1335958754810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1065505251664 is a wasteful number, since it uses less digits than its factorization.

1065505251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359062843 (or 1359062830 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 1065505251664 in words is "one trillion, sixty-five billion, five hundred five million, two hundred fifty-one thousand, six hundred sixty-four".