1966582251 has 24 divisors (see below), whose sum is σ = 3017586000. Its totient is φ = 1230645312.

The previous prime is 1966582223. The next prime is 1966582283. The reversal of 1966582251 is 1522856691.

1966582251 is a `hidden beast` number, since 1 + 9 + 66 + 582 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 1966582251 - 2¹⁵ = 1966549483 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1966582197 and 1966582206.

It is not an unprimeable number, because it can be changed into a prime (1966582351) 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, 34116 + ... + 71393.

It is an arithmetic number, because the mean of its divisors is an integer number (125732750).

Almost surely, 2^1966582251 is an apocalyptic number.

1966582251 is a deficient number, since it is larger than the sum of its proper divisors (1051003749).

1966582251 is a wasteful number, since it uses less digits than its factorization.

1966582251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105643 (or 105640 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1966582251 is about 44346.1638814453. The cubic root of 1966582251 is about 1252.8643117745.

The spelling of 1966582251 in words is "one billion, nine hundred sixty-six million, five hundred eighty-two thousand, two hundred fifty-one".