1007256421 has 2 divisors, whose sum is σ = 1007256422. Its totient is φ = 1007256420.

The previous prime is 1007256403. The next prime is 1007256451. The reversal of 1007256421 is 1246527001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915365025 + 91891396 = 30255^2 + 9586^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007256421 - 2⁷ = 1007256293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007256421.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007256401) 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, 503628210 + 503628211.

It is an arithmetic number, because the mean of its divisors is an integer number (503628211).

Almost surely, 2^1007256421 is an apocalyptic number.

It is an amenable number.

1007256421 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007256421 is an equidigital number, since it uses as much as digits as its factorization.

1007256421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1007256421 is about 31737.3033038410. The cubic root of 1007256421 is about 1002.4129798451.

The spelling of 1007256421 in words is "one billion, seven million, two hundred fifty-six thousand, four hundred twenty-one".