213525019 has 2 divisors, whose sum is σ = 213525020. Its totient is φ = 213525018.

The previous prime is 213525001. The next prime is 213525029. The reversal of 213525019 is 910525312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213525019 - 2¹³ = 213516827 is a prime.

It is a super-2 number, since 2×213525019² = 91185867477900722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213525029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106762509 + 106762510.

It is an arithmetic number, because the mean of its divisors is an integer number (106762510).

Almost surely, 2^213525019 is an apocalyptic number.

213525019 is a deficient number, since it is larger than the sum of its proper divisors (1).

213525019 is an equidigital number, since it uses as much as digits as its factorization.

213525019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 213525019 is about 14612.4953036776. The cubic root of 213525019 is about 597.6995420202.

The spelling of 213525019 in words is "two hundred thirteen million, five hundred twenty-five thousand, nineteen".