525145623515257 has 2 divisors, whose sum is σ = 525145623515258. Its totient is φ = 525145623515256.

The previous prime is 525145623515207. The next prime is 525145623515273. The reversal of 525145623515257 is 752515326541525.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405594667063161 + 119550956452096 = 20139381^2 + 10933936^2 .

It is a cyclic number.

It is not a de Polignac number, because 525145623515257 - 2³¹ = 525143476031609 is a prime.

It is not a weakly prime, because it can be changed into another prime (525145623515207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262572811757628 + 262572811757629.

It is an arithmetic number, because the mean of its divisors is an integer number (262572811757629).

Almost surely, 2^{525145623515257} is an apocalyptic number.

It is an amenable number.

525145623515257 is a deficient number, since it is larger than the sum of its proper divisors (1).

525145623515257 is an equidigital number, since it uses as much as digits as its factorization.

525145623515257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63000000, while the sum is 58.

The spelling of 525145623515257 in words is "five hundred twenty-five trillion, one hundred forty-five billion, six hundred twenty-three million, five hundred fifteen thousand, two hundred fifty-seven".