1010953216 has 176 divisors, whose sum is σ = 2622780160. Its totient is φ = 378224640.

The previous prime is 1010953213. The next prime is 1010953219. The reversal of 1010953216 is 6123590101.

It is an interprime number because it is at equal distance from previous prime (1010953213) and next prime (1010953219).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1010953211) by changing a digit.

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, 1770211 + ... + 1770781.

It is an arithmetic number, because the mean of its divisors is an integer number (14902160).

Almost surely, 2^1010953216 is an apocalyptic number.

1010953216 is a gapful number since it is divisible by the number (16) 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 1010953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311390080).

1010953216 is an abundant number, since it is smaller than the sum of its proper divisors (1611826944).

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

1010953216 is a wasteful number, since it uses less digits than its factorization.

1010953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1010953216 is about 31795.4904978678. The cubic root of 1010953216 is about 1003.6378222023.

The spelling of 1010953216 in words is "one billion, ten million, nine hundred fifty-three thousand, two hundred sixteen".