1957125170 has 384 divisors, whose sum is σ = 5361334272. Its totient is φ = 503193600.

The previous prime is 1957125169. The next prime is 1957125173. The reversal of 1957125170 is 715217591.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1957125173) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36926864 + ... + 36926916.

It is an arithmetic number, because the mean of its divisors is an integer number (13961808).

Almost surely, 2^1957125170 is an apocalyptic number.

1957125170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1957125170 is an abundant number, since it is smaller than the sum of its proper divisors (3404209102).

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

1957125170 is a wasteful number, since it uses less digits than its factorization.

1957125170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 38.

The square root of 1957125170 is about 44239.4074327403. The cubic root of 1957125170 is about 1250.8527876702.

The spelling of 1957125170 in words is "one billion, nine hundred fifty-seven million, one hundred twenty-five thousand, one hundred seventy".