1020051417 has 48 divisors (see below), whose sum is σ = 1716955520. Its totient is φ = 527281920.

The previous prime is 1020051407. The next prime is 1020051433. The reversal of 1020051417 is 7141500201.

It is a happy number.

It is not a de Polignac number, because 1020051417 - 2¹⁰ = 1020050393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020051393 and 1020051402.

It is not an unprimeable number, because it can be changed into a prime (1020051407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581013 + ... + 582765.

Almost surely, 2^1020051417 is an apocalyptic number.

It is an amenable number.

1020051417 is a deficient number, since it is larger than the sum of its proper divisors (696904103).

1020051417 is a wasteful number, since it uses less digits than its factorization.

1020051417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1020051417 is about 31938.2437995579. The cubic root of 1020051417 is about 1006.6396234981.

Adding to 1020051417 its reverse (7141500201), we get a palindrome (8161551618).

The spelling of 1020051417 in words is "one billion, twenty million, fifty-one thousand, four hundred seventeen".