402212513302425 has 216 divisors, whose sum is σ = 887394907869912. Its totient is φ = 173038247424000.

The previous prime is 402212513302423. The next prime is 402212513302433. The reversal of 402212513302425 is 524203315212204.

402212513302425 is a `hidden beast` number, since 4 + 0 + 2 + 212 + 5 + 13 + 3 + 0 + 2 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33416631226944 + 368795882075481 = 5780712^2 + 19204059^2 .

It is not a de Polignac number, because 402212513302425 - 2¹ = 402212513302423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 402212513302425.

It is not an unprimeable number, because it can be changed into a prime (402212513302423) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2402892235 + ... + 2403059615.

It is an arithmetic number, because the mean of its divisors is an integer number (4108309758657).

Almost surely, 2^{402212513302425} is an apocalyptic number.

402212513302425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402212513302425 is an abundant number, since it is smaller than the sum of its proper divisors (485182394567487).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402212513302425 is a wasteful number, since it uses less digits than its factorization.

402212513302425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180249 (or 180234 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 402212513302425 its reverse (524203315212204), we get a palindrome (926415828514629).

The spelling of 402212513302425 in words is "four hundred two trillion, two hundred twelve billion, five hundred thirteen million, three hundred two thousand, four hundred twenty-five".