351202125413025 has 144 divisors (see below), whose sum is σ = 664475508702720. Its totient is φ = 177039204249600.

The previous prime is 351202125412997. The next prime is 351202125413047. The reversal of 351202125413025 is 520314521202153.

351202125413025 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 0 + 212 + 5 + 413 + 0 + 25 = 666.

It is not a de Polignac number, because 351202125413025 - 2¹⁰ = 351202125412001 is a prime.

It is a super-2 number, since 2×351202125413025² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7350837937 + ... + 7350885713.

It is an arithmetic number, because the mean of its divisors is an integer number (4614413254880).

Almost surely, 2^{351202125413025} is an apocalyptic number.

It is an amenable number.

351202125413025 is a deficient number, since it is larger than the sum of its proper divisors (313273383289695).

351202125413025 is a wasteful number, since it uses less digits than its factorization.

351202125413025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72376 (or 72368 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 351202125413025 its reverse (520314521202153), we get a palindrome (871516646615178).

The spelling of 351202125413025 in words is "three hundred fifty-one trillion, two hundred two billion, one hundred twenty-five million, four hundred thirteen thousand, twenty-five".