10025658575057 has 2 divisors, whose sum is σ = 10025658575058. Its totient is φ = 10025658575056.

The previous prime is 10025658575017. The next prime is 10025658575131. The reversal of 10025658575057 is 75057585652001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7823829946321 + 2201828628736 = 2797111^2 + 1483856^2 .

It is a cyclic number.

It is not a de Polignac number, because 10025658575057 - 2²⁰ = 10025657526481 is a prime.

It is a super-2 number, since 2×10025658575057² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10025658574993 and 10025658575011.

It is not a weakly prime, because it can be changed into another prime (10025658575017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012829287528 + 5012829287529.

It is an arithmetic number, because the mean of its divisors is an integer number (5012829287529).

Almost surely, 2^{10025658575057} is an apocalyptic number.

It is an amenable number.

10025658575057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10025658575057 is an equidigital number, since it uses as much as digits as its factorization.

10025658575057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700000, while the sum is 56.

The spelling of 10025658575057 in words is "ten trillion, twenty-five billion, six hundred fifty-eight million, five hundred seventy-five thousand, fifty-seven".