7827484001 has 2 divisors, whose sum is σ = 7827484002. Its totient is φ = 7827484000.

The previous prime is 7827483959. The next prime is 7827484013. The reversal of 7827484001 is 1004847287.

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., 5282382400 + 2545101601 = 72680^2 + 50449^2 .

It is an emirp because it is prime and its reverse (1004847287) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7827484001 is a prime.

It is a super-2 number, since 2×7827484001² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

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 7827484001.

It is not a weakly prime, because it can be changed into another prime (7827484031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3913742000 + 3913742001.

It is an arithmetic number, because the mean of its divisors is an integer number (3913742001).

Almost surely, 2^7827484001 is an apocalyptic number.

It is an amenable number.

7827484001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7827484001 is an equidigital number, since it uses as much as digits as its factorization.

7827484001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 7827484001 is about 88473.0693544651. The cubic root of 7827484001 is about 1985.5190711508.

The spelling of 7827484001 in words is "seven billion, eight hundred twenty-seven million, four hundred eighty-four thousand, one".