3125009478257 has 2 divisors, whose sum is σ = 3125009478258. Its totient is φ = 3125009478256.

The previous prime is 3125009478181. The next prime is 3125009478263. The reversal of 3125009478257 is 7528749005213.

3125009478257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3110905778176 + 14103700081 = 1763776^2 + 118759^2 .

It is an emirp because it is prime and its reverse (7528749005213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3125009478257 - 2²⁰ = 3125008429681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3125009478199 and 3125009478208.

It is not a weakly prime, because it can be changed into another prime (3125009478287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562504739128 + 1562504739129.

It is an arithmetic number, because the mean of its divisors is an integer number (1562504739129).

Almost surely, 2^{3125009478257} is an apocalyptic number.

It is an amenable number.

3125009478257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3125009478257 is an equidigital number, since it uses as much as digits as its factorization.

3125009478257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 3125009478257 in words is "three trillion, one hundred twenty-five billion, nine million, four hundred seventy-eight thousand, two hundred fifty-seven".