1021252736 has 128 divisors (see below), whose sum is σ = 2467584000. Its totient is φ = 411264000.

The previous prime is 1021252691. The next prime is 1021252753. The reversal of 1021252736 is 6372521201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1021252699 and 1021252708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4068611 + ... + 4068861.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^1021252736 is an apocalyptic number.

1021252736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

1021252736 is an abundant number, since it is smaller than the sum of its proper divisors (1446331264).

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

1021252736 is a wasteful number, since it uses less digits than its factorization.

1021252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1021252736 is about 31957.0451700404. The cubic root of 1021252736 is about 1007.0346430907.

Adding to 1021252736 its reverse (6372521201), we get a palindrome (7393773937).

The spelling of 1021252736 in words is "one billion, twenty-one million, two hundred fifty-two thousand, seven hundred thirty-six".