1003768213 has 32 divisors (see below), whose sum is σ = 1262822400. Its totient is φ = 777928704.

The previous prime is 1003768193. The next prime is 1003768217. The reversal of 1003768213 is 3128673001.

It is not a de Polignac number, because 1003768213 - 2²⁵ = 970213781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003768217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824181 + ... + 825397.

It is an arithmetic number, because the mean of its divisors is an integer number (39463200).

Almost surely, 2^1003768213 is an apocalyptic number.

It is an amenable number.

1003768213 is a deficient number, since it is larger than the sum of its proper divisors (259054187).

1003768213 is a wasteful number, since it uses less digits than its factorization.

1003768213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1003768213 is about 31682.3012579579. The cubic root of 1003768213 is about 1001.2544965802.

The spelling of 1003768213 in words is "one billion, three million, seven hundred sixty-eight thousand, two hundred thirteen".