1007263217 has 2 divisors, whose sum is σ = 1007263218. Its totient is φ = 1007263216.

The previous prime is 1007263181. The next prime is 1007263249. The reversal of 1007263217 is 7123627001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 563065441 + 444197776 = 23729^2 + 21076^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007263217 - 2²⁶ = 940154353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1007263217.

It is not a weakly prime, because it can be changed into another prime (1007263717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503631608 + 503631609.

It is an arithmetic number, because the mean of its divisors is an integer number (503631609).

Almost surely, 2^1007263217 is an apocalyptic number.

It is an amenable number.

1007263217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007263217 is an equidigital number, since it uses as much as digits as its factorization.

1007263217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1007263217 is about 31737.4103700979. The cubic root of 1007263217 is about 1002.4152342804.

The spelling of 1007263217 in words is "one billion, seven million, two hundred sixty-three thousand, two hundred seventeen".