1001363661 has 16 divisors (see below), whose sum is σ = 1518003520. Its totient is φ = 652050000.

The previous prime is 1001363659. The next prime is 1001363663. The reversal of 1001363661 is 1663631001.

It is a happy number.

1001363661 is a `hidden beast` number, since 10 + 0 + 13 + 636 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1001363659) and next prime (1001363663).

It is not a de Polignac number, because 1001363661 - 2¹ = 1001363659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001363663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430090 + ... + 432411.

It is an arithmetic number, because the mean of its divisors is an integer number (94875220).

Almost surely, 2^1001363661 is an apocalyptic number.

It is an amenable number.

1001363661 is a deficient number, since it is larger than the sum of its proper divisors (516639859).

1001363661 is an equidigital number, since it uses as much as digits as its factorization.

1001363661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862553 (or 862547 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1001363661 is about 31644.3306296720. The cubic root of 1001363661 is about 1000.4543472040.

Adding to 1001363661 its reverse (1663631001), we get a palindrome (2664994662).

The spelling of 1001363661 in words is "one billion, one million, three hundred sixty-three thousand, six hundred sixty-one".