351257503678225 has 27 divisors (see below), whose sum is σ = 436012139640819. Its totient is φ = 280714154620800.

The previous prime is 351257503678063. The next prime is 351257503678229. The reversal of 351257503678225 is 522876305752153.

It is a happy number.

The square root of 351257503678225 is 18741865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 233261077314769 + 117996426363456 = 15272887^2 + 10862616^2 .

It is not a de Polignac number, because 351257503678225 - 2¹³ = 351257503670033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351257503678229) 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 in 26 ways as a sum of consecutive naturals, for example, 163147933749 + ... + 163147935901.

Almost surely, 2^{351257503678225} is an apocalyptic number.

351257503678225 is the 18741865-th square number.

351257503678225 is the 9370933-rd centered octagonal number.

It is an amenable number.

351257503678225 is a deficient number, since it is larger than the sum of its proper divisors (84754635962594).

351257503678225 is an frugal number, since it uses more digits than its factorization.

351257503678225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 61.

The spelling of 351257503678225 in words is "three hundred fifty-one trillion, two hundred fifty-seven billion, five hundred three million, six hundred seventy-eight thousand, two hundred twenty-five".