1953125010 has 24 divisors (see below), whose sum is σ = 5078125260. Its totient is φ = 520833312.

The previous prime is 1953124993. The next prime is 1953125011. The reversal of 1953125010 is 105213591.

It can be written as a sum of positive squares in 2 ways, for example, as 1949310801 + 3814209 = 44151^2 + 1953^2 .

It is not an unprimeable number, because it can be changed into a prime (1953125011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10850605 + ... + 10850784.

Almost surely, 2^1953125010 is an apocalyptic number.

1953125010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1953125010 is an abundant number, since it is smaller than the sum of its proper divisors (3125000250).

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

1953125010 is a wasteful number, since it uses less digits than its factorization.

1953125010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21701402 (or 21701399 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1953125010 is about 44194.1739372963. The cubic root of 1953125010 is about 1250.0000021333. Note that the first 5 decimals are identical.

The spelling of 1953125010 in words is "one billion, nine hundred fifty-three million, one hundred twenty-five thousand, ten".