213014025 has 81 divisors (see below), whose sum is σ = 447038631. Its totient is φ = 96677280.

The previous prime is 213014003. The next prime is 213014027. The reversal of 213014025 is 520410312.

The square root of 213014025 is 14595.

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

It can be written as a sum of positive squares in only one way, i.e., 76685049 + 136328976 = 8757^2 + 11676^2 .

It is not a de Polignac number, because 213014025 - 2¹⁵ = 212981257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213013989 and 213014007.

It is not an unprimeable number, because it can be changed into a prime (213014027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1532406 + ... + 1532544.

Almost surely, 2^213014025 is an apocalyptic number.

213014025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213014025 is the 14595-th square number.

213014025 is the 7298-th centered octagonal number.

It is an amenable number.

213014025 is an abundant number, since it is smaller than the sum of its proper divisors (234024606).

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

213014025 is a wasteful number, since it uses less digits than its factorization.

213014025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 213014025 is about 597.2223694569. Note that the first 3 decimals are identical.

Adding to 213014025 its reverse (520410312), we get a palindrome (733424337).

The spelling of 213014025 in words is "two hundred thirteen million, fourteen thousand, twenty-five".