25001057 has 2 divisors, whose sum is σ = 25001058. Its totient is φ = 25001056.

The previous prime is 25001047. The next prime is 25001059. The reversal of 25001057 is 75010052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24840256 + 160801 = 4984^2 + 401^2 .

It is a cyclic number.

It is not a de Polignac number, because 25001057 - 2¹⁰ = 25000033 is a prime.

It is a super-2 number, since 2×25001057² = 1250105702234498, which contains 22 as substring.

Together with 25001059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (25001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12500528 + 12500529.

It is an arithmetic number, because the mean of its divisors is an integer number (12500529).

Almost surely, 2^25001057 is an apocalyptic number.

It is an amenable number.

25001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

25001057 is an equidigital number, since it uses as much as digits as its factorization.

25001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 25001057 is about 5000.1056988828. The cubic root of 25001057 is about 292.4058946789.

The spelling of 25001057 in words is "twenty-five million, one thousand, fifty-seven".