1957989125 has 32 divisors (see below), whose sum is σ = 2519162880. Its totient is φ = 1518264000.

The previous prime is 1957989119. The next prime is 1957989151. The reversal of 1957989125 is 5219897591.

It is not a de Polignac number, because 1957989125 - 2¹⁶ = 1957923589 is a prime.

It is a super-3 number, since 3×1957989125³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530236 + ... + 1531514.

It is an arithmetic number, because the mean of its divisors is an integer number (78723840).

Almost surely, 2^1957989125 is an apocalyptic number.

It is an amenable number.

1957989125 is a deficient number, since it is larger than the sum of its proper divisors (561173755).

1957989125 is a wasteful number, since it uses less digits than its factorization.

1957989125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1652 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 56.

The square root of 1957989125 is about 44249.1708961874. The cubic root of 1957989125 is about 1251.0368197660.

The spelling of 1957989125 in words is "one billion, nine hundred fifty-seven million, nine hundred eighty-nine thousand, one hundred twenty-five".