213214105415025 has 384 divisors, whose sum is σ = 467953334069760. Its totient is φ = 93809664000000.

The previous prime is 213214105415021. The next prime is 213214105415027. The reversal of 213214105415025 is 520514501412312.

213214105415025 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 4 + 105 + 41 + 502 + 5 = 666.

213214105415025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213214105415025 - 2² = 213214105415021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213214105415021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12252971325 + ... + 12252988725.

It is an arithmetic number, because the mean of its divisors is an integer number (1218628474140).

Almost surely, 2^{213214105415025} is an apocalyptic number.

213214105415025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213214105415025 is an abundant number, since it is smaller than the sum of its proper divisors (254739228654735).

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

213214105415025 is a wasteful number, since it uses less digits than its factorization.

213214105415025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19586 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 213214105415025 its reverse (520514501412312), we get a palindrome (733728606827337).

The spelling of 213214105415025 in words is "two hundred thirteen trillion, two hundred fourteen billion, one hundred five million, four hundred fifteen thousand, twenty-five".