1023252810 has 64 divisors (see below), whose sum is σ = 2499721344. Its totient is φ = 268012800.

The previous prime is 1023252787. The next prime is 1023252851. The reversal of 1023252810 is 182523201.

It is a super-2 number, since 2×1023252810² = 2094092626345792200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086940 + ... + 1087880.

It is an arithmetic number, because the mean of its divisors is an integer number (39058146).

Almost surely, 2^1023252810 is an apocalyptic number.

1023252810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023252810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249860672).

1023252810 is an abundant number, since it is smaller than the sum of its proper divisors (1476468534).

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

1023252810 is a wasteful number, since it uses less digits than its factorization.

1023252810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1023252810 is about 31988.3230257543. The cubic root of 1023252810 is about 1007.6916239068.

The spelling of 1023252810 in words is "one billion, twenty-three million, two hundred fifty-two thousand, eight hundred ten".