1057108625 has 16 divisors (see below), whose sum is σ = 1334108880. Its totient is φ = 836176000.

The previous prime is 1057108601. The next prime is 1057108669. The reversal of 1057108625 is 5268017501.

It can be written as a sum of positive squares in 8 ways, for example, as 502835776 + 554272849 = 22424^2 + 23543^2 .

It is not a de Polignac number, because 1057108625 - 2¹⁶ = 1057043089 is a prime.

It is a super-2 number, since 2×1057108625² = 2234957290098781250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36386 + ... + 58635.

It is an arithmetic number, because the mean of its divisors is an integer number (83381805).

Almost surely, 2^1057108625 is an apocalyptic number.

It is an amenable number.

1057108625 is a deficient number, since it is larger than the sum of its proper divisors (277000255).

1057108625 is an frugal number, since it uses more digits than its factorization.

1057108625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95125 (or 95115 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1057108625 is about 32513.2069319531. The cubic root of 1057108625 is about 1018.6849080822.

The spelling of 1057108625 in words is "one billion, fifty-seven million, one hundred eight thousand, six hundred twenty-five".