1035625216 has 36 divisors (see below), whose sum is σ = 2083052664. Its totient is φ = 513843200.

The previous prime is 1035625207. The next prime is 1035625237. The reversal of 1035625216 is 6125265301.

It is a super-3 number, since 3×1035625216³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18096 + ... + 48976.

It is an arithmetic number, because the mean of its divisors is an integer number (57862574).

Almost surely, 2^1035625216 is an apocalyptic number.

1035625216 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 1035625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041526332).

1035625216 is an abundant number, since it is smaller than the sum of its proper divisors (1047427448).

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

1035625216 is an equidigital number, since it uses as much as digits as its factorization.

1035625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31028 (or 31014 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1035625216 is about 32181.1313660660. The cubic root of 1035625216 is about 1011.7367810488.

The spelling of 1035625216 in words is "one billion, thirty-five million, six hundred twenty-five thousand, two hundred sixteen".