513378001 has 2 divisors, whose sum is σ = 513378002. Its totient is φ = 513378000.

The previous prime is 513377993. The next prime is 513378023. The reversal of 513378001 is 100873315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262472401 + 250905600 = 16201^2 + 15840^2 .

It is a cyclic number.

It is not a de Polignac number, because 513378001 - 2³ = 513377993 is a prime.

It is not a weakly prime, because it can be changed into another prime (513378301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256689000 + 256689001.

It is an arithmetic number, because the mean of its divisors is an integer number (256689001).

Almost surely, 2^513378001 is an apocalyptic number.

It is an amenable number.

513378001 is a deficient number, since it is larger than the sum of its proper divisors (1).

513378001 is an equidigital number, since it uses as much as digits as its factorization.

513378001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 513378001 is about 22657.8463451406. The cubic root of 513378001 is about 800.7170659327.

The spelling of 513378001 in words is "five hundred thirteen million, three hundred seventy-eight thousand, one".