213507953 has 2 divisors, whose sum is σ = 213507954. Its totient is φ = 213507952.

The previous prime is 213507949. The next prime is 213507967. The reversal of 213507953 is 359705312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164044864 + 49463089 = 12808^2 + 7033^2 .

It is a cyclic number.

It is not a de Polignac number, because 213507953 - 2² = 213507949 is a prime.

It is not a weakly prime, because it can be changed into another prime (213507923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106753976 + 106753977.

It is an arithmetic number, because the mean of its divisors is an integer number (106753977).

Almost surely, 2^213507953 is an apocalyptic number.

It is an amenable number.

213507953 is a deficient number, since it is larger than the sum of its proper divisors (1).

213507953 is an equidigital number, since it uses as much as digits as its factorization.

213507953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 213507953 is about 14611.9113397255. The cubic root of 213507953 is about 597.6836178720.

The spelling of 213507953 in words is "two hundred thirteen million, five hundred seven thousand, nine hundred fifty-three".