1023253152 has 48 divisors (see below), whose sum is σ = 2703187872. Its totient is φ = 338906880.

The previous prime is 1023253129. The next prime is 1023253159. The reversal of 1023253152 is 2513523201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1023253159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18874 + ... + 49017.

It is an arithmetic number, because the mean of its divisors is an integer number (56316414).

Almost surely, 2^1023253152 is an apocalyptic number.

1023253152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023253152 is an abundant number, since it is smaller than the sum of its proper divisors (1679934720).

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

1023253152 is a wasteful number, since it uses less digits than its factorization.

1023253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68061 (or 68053 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1023253152 is about 31988.3283714545. The cubic root of 1023253152 is about 1007.6917361731.

Adding to 1023253152 its reverse (2513523201), we get a palindrome (3536776353).

The spelling of 1023253152 in words is "one billion, twenty-three million, two hundred fifty-three thousand, one hundred fifty-two".