981406513 has 2 divisors, whose sum is σ = 981406514. Its totient is φ = 981406512.

The previous prime is 981406507. The next prime is 981406519. The reversal of 981406513 is 315604189.

It is a balanced prime because it is at equal distance from previous prime (981406507) and next prime (981406519).

It can be written as a sum of positive squares in only one way, i.e., 673298704 + 308107809 = 25948^2 + 17553^2 .

It is a cyclic number.

It is not a de Polignac number, because 981406513 - 2¹⁷ = 981275441 is a prime.

It is not a weakly prime, because it can be changed into another prime (981406519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490703256 + 490703257.

It is an arithmetic number, because the mean of its divisors is an integer number (490703257).

Almost surely, 2^981406513 is an apocalyptic number.

It is an amenable number.

981406513 is a deficient number, since it is larger than the sum of its proper divisors (1).

981406513 is an equidigital number, since it uses as much as digits as its factorization.

981406513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 981406513 is about 31327.4083351943. The cubic root of 981406513 is about 993.7633561329.

It can be divided in two parts, 98140 and 6513, that added together give a triangular number (104653 = T₄₅₇).

The spelling of 981406513 in words is "nine hundred eighty-one million, four hundred six thousand, five hundred thirteen".