1952668069641 has 27 divisors (see below), whose sum is σ = 2899041391701. Its totient is φ = 1266494893344.

The previous prime is 1952668069613. The next prime is 1952668069669. The reversal of 1952668069641 is 1469608662591.

The square root of 1952668069641 is 1397379.

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

1952668069641 is a `hidden beast` number, since 1 + 9 + 526 + 6 + 8 + 0 + 69 + 6 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1952668069613) and next prime (1952668069669).

It can be written as a sum of positive squares in 4 ways, for example, as 3025550025 + 1949642519616 = 55005^2 + 1396296^2 .

It is not a de Polignac number, because 1952668069641 - 2¹⁷ = 1952667938569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1952668079641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155102775 + ... + 155115363.

Almost surely, 2^{1952668069641} is an apocalyptic number.

1952668069641 is the 1397379-th square number.

1952668069641 is the 698690-th centered octagonal number.

It is an amenable number.

1952668069641 is a deficient number, since it is larger than the sum of its proper divisors (946373322060).

1952668069641 is an frugal number, since it uses more digits than its factorization.

1952668069641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25258 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1952668069641 in words is "one trillion, nine hundred fifty-two billion, six hundred sixty-eight million, sixty-nine thousand, six hundred forty-one".