1057254125 has 16 divisors (see below), whose sum is σ = 1320382128. Its totient is φ = 845208000.

The previous prime is 1057254091. The next prime is 1057254139. The reversal of 1057254125 is 5214527501.

It can be written as a sum of positive squares in 8 ways, for example, as 657973801 + 399280324 = 25651^2 + 19982^2 .

It is not a de Polignac number, because 1057254125 - 2¹⁶ = 1057188589 is a prime.

It is a super-2 number, since 2×1057254125² = 2235572569659031250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1057254091 and 1057254100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290819 + ... + 294431.

It is an arithmetic number, because the mean of its divisors is an integer number (82523883).

Almost surely, 2^1057254125 is an apocalyptic number.

It is an amenable number.

1057254125 is a deficient number, since it is larger than the sum of its proper divisors (263128003).

1057254125 is an equidigital number, since it uses as much as digits as its factorization.

1057254125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 1057254125 is about 32515.4444072352. Note that the first 4 decimals coincide. The cubic root of 1057254125 is about 1018.7316430632.

The spelling of 1057254125 in words is "one billion, fifty-seven million, two hundred fifty-four thousand, one hundred twenty-five".