1010252880 has 480 divisors, whose sum is σ = 4426216704. Its totient is φ = 200392704.

The previous prime is 1010252861. The next prime is 1010252899. The reversal of 1010252880 is 882520101.

1010252880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010252861) and next prime (1010252899).

It is a super-2 number, since 2×1010252880² = 2041221763096588800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113387 + ... + 1114293.

Almost surely, 2^1010252880 is an apocalyptic number.

1010252880 is a gapful number since it is divisible by the number (10) 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 1010252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213108352).

1010252880 is an abundant number, since it is smaller than the sum of its proper divisors (3415963824).

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

1010252880 is a wasteful number, since it uses less digits than its factorization.

1010252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1010252880 is about 31784.4754557945. The cubic root of 1010252880 is about 1003.4060125741.

Adding to 1010252880 its reverse (882520101), we get a palindrome (1892772981).

The spelling of 1010252880 in words is "one billion, ten million, two hundred fifty-two thousand, eight hundred eighty".