1957583961 has 12 divisors (see below), whose sum is σ = 2843245860. Its totient is φ = 1297844640.

The previous prime is 1957583899. The next prime is 1957583963. The reversal of 1957583961 is 1693857591.

1957583961 is a `hidden beast` number, since 1 + 9 + 57 + 583 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188540361 + 1769043600 = 13731^2 + 42060^2 .

It is not a de Polignac number, because 1957583961 - 2¹⁰ = 1957582937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1957583898 and 1957583907.

It is not an unprimeable number, because it can be changed into a prime (1957583963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599226 + ... + 602483.

It is an arithmetic number, because the mean of its divisors is an integer number (236937155).

Almost surely, 2^1957583961 is an apocalyptic number.

It is an amenable number.

1957583961 is a deficient number, since it is larger than the sum of its proper divisors (885661899).

1957583961 is a wasteful number, since it uses less digits than its factorization.

1957583961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201896 (or 1201893 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 1957583961 is about 44244.5924492474. The cubic root of 1957583961 is about 1250.9505220364.

The spelling of 1957583961 in words is "one billion, nine hundred fifty-seven million, five hundred eighty-three thousand, nine hundred sixty-one".