1957125160 has 32 divisors (see below), whose sum is σ = 4510938600. Its totient is φ = 763755520.

The previous prime is 1957125151. The next prime is 1957125169. The reversal of 1957125160 is 615217591.

It is an interprime number because it is at equal distance from previous prime (1957125151) and next prime (1957125169).

It can be written as a sum of positive squares in 4 ways, for example, as 870368004 + 1086757156 = 29502^2 + 32966^2 .

It is not an unprimeable number, because it can be changed into a prime (1957125169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595045 + ... + 598324.

Almost surely, 2^1957125160 is an apocalyptic number.

1957125160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957125160 is an abundant number, since it is smaller than the sum of its proper divisors (2553813440).

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

1957125160 is a wasteful number, since it uses less digits than its factorization.

1957125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193421 (or 1193417 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 37.

The square root of 1957125160 is about 44239.4073197189. The cubic root of 1957125160 is about 1250.8527855398.

The spelling of 1957125160 in words is "one billion, nine hundred fifty-seven million, one hundred twenty-five thousand, one hundred sixty".