456521413 has 2 divisors, whose sum is σ = 456521414. Its totient is φ = 456521412.

The previous prime is 456521371. The next prime is 456521423. The reversal of 456521413 is 314125654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263672644 + 192848769 = 16238^2 + 13887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456521413 is a prime.

It is a super-3 number, since 3×456521413³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456521423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228260706 + 228260707.

It is an arithmetic number, because the mean of its divisors is an integer number (228260707).

Almost surely, 2^456521413 is an apocalyptic number.

It is an amenable number.

456521413 is a deficient number, since it is larger than the sum of its proper divisors (1).

456521413 is an equidigital number, since it uses as much as digits as its factorization.

456521413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14400, while the sum is 31.

The square root of 456521413 is about 21366.3617164926. The cubic root of 456521413 is about 769.9934856367.

The spelling of 456521413 in words is "four hundred fifty-six million, five hundred twenty-one thousand, four hundred thirteen".