1007563841 has 2 divisors, whose sum is σ = 1007563842. Its totient is φ = 1007563840.

The previous prime is 1007563813. The next prime is 1007563847. The reversal of 1007563841 is 1483657001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 650505025 + 357058816 = 25505^2 + 18896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1007563841 is a prime.

It is a super-4 number, since 4×1007563841⁴ (a number of 37 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1007563847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503781920 + 503781921.

It is an arithmetic number, because the mean of its divisors is an integer number (503781921).

Almost surely, 2^1007563841 is an apocalyptic number.

It is an amenable number.

1007563841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007563841 is an equidigital number, since it uses as much as digits as its factorization.

1007563841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1007563841 is about 31742.1461309723. The cubic root of 1007563841 is about 1002.5149500572.

The spelling of 1007563841 in words is "one billion, seven million, five hundred sixty-three thousand, eight hundred forty-one".