1007780513 has 8 divisors (see below), whose sum is σ = 1011346440. Its totient is φ = 1004221440.

The previous prime is 1007780503. The next prime is 1007780591. The reversal of 1007780513 is 3150877001.

1007780513 = 22447² + 22448².

It can be written as a sum of positive squares in 4 ways, for example, as 159340129 + 848440384 = 12623^2 + 29128^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007780513 - 2⁴ = 1007780497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007780513.

It is not an unprimeable number, because it can be changed into a prime (1007780503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676073 + ... + 677561.

It is an arithmetic number, because the mean of its divisors is an integer number (126418305).

Almost surely, 2^1007780513 is an apocalyptic number.

1007780513 is the 22448-th centered square number.

It is an amenable number.

1007780513 is a deficient number, since it is larger than the sum of its proper divisors (3565927).

1007780513 is a wasteful number, since it uses less digits than its factorization.

1007780513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 1007780513 is about 31745.5589492452. The cubic root of 1007780513 is about 1002.5868069930.

The spelling of 1007780513 in words is "one billion, seven million, seven hundred eighty thousand, five hundred thirteen".