1020263520 has 96 divisors (see below), whose sum is σ = 3383009280. Its totient is φ = 257748480.

The previous prime is 1020263507. The next prime is 1020263561. The reversal of 1020263520 is 253620201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

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, 46816 + ... + 65055.

It is an arithmetic number, because the mean of its divisors is an integer number (35239680).

Almost surely, 2^1020263520 is an apocalyptic number.

1020263520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020263520 is an abundant number, since it is smaller than the sum of its proper divisors (2362745760).

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

1020263520 is a wasteful number, since it uses less digits than its factorization.

1020263520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111908 (or 111900 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1020263520 is about 31941.5641445437. The cubic root of 1020263520 is about 1006.7093900750.

Adding to 1020263520 its reverse (253620201), we get a palindrome (1273883721).

The spelling of 1020263520 in words is "one billion, twenty million, two hundred sixty-three thousand, five hundred twenty".