1020015126 has 64 divisors (see below), whose sum is σ = 2497904640. Its totient is φ = 306542880.

The previous prime is 1020015121. The next prime is 1020015127. The reversal of 1020015126 is 6215100201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020015099 and 1020015108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020015121) 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, 13291 + ... + 47081.

It is an arithmetic number, because the mean of its divisors is an integer number (39029760).

Almost surely, 2^1020015126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020015126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248952320).

1020015126 is an abundant number, since it is smaller than the sum of its proper divisors (1477889514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020015126 is a wasteful number, since it uses less digits than its factorization.

1020015126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33858 (or 33852 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1020015126 is about 31937.6756511804. The cubic root of 1020015126 is about 1006.6276854097.

Adding to 1020015126 its reverse (6215100201), we get a palindrome (7235115327).

The spelling of 1020015126 in words is "one billion, twenty million, fifteen thousand, one hundred twenty-six".