1023525264 has 80 divisors (see below), whose sum is σ = 2764267520. Its totient is φ = 325952640.

The previous prime is 1023525229. The next prime is 1023525281. The reversal of 1023525264 is 4625253201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113199 + ... + 121905.

It is an arithmetic number, because the mean of its divisors is an integer number (34553344).

Almost surely, 2^1023525264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023525264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382133760).

1023525264 is an abundant number, since it is smaller than the sum of its proper divisors (1740742256).

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

1023525264 is a wasteful number, since it uses less digits than its factorization.

1023525264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1023525264 is about 31992.5813900660. The cubic root of 1023525264 is about 1007.7810528492.

Adding to 1023525264 its reverse (4625253201), we get a palindrome (5648778465).

The spelling of 1023525264 in words is "one billion, twenty-three million, five hundred twenty-five thousand, two hundred sixty-four".