1020633570450 has 1008 divisors, whose sum is σ = 3381508491480. Its totient is φ = 227412541440.

The previous prime is 1020633570443. The next prime is 1020633570457. The reversal of 1020633570450 is 540753360201.

1020633570450 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 33 + 570 + 4 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1020633570443) and next prime (1020633570457).

It can be written as a sum of positive squares in 36 ways, for example, as 8611654401 + 1012021916049 = 92799^2 + 1005993^2 .

It is a super-2 number, since 2×1020633570450² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020633570457) 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 503 ways as a sum of consecutive naturals, for example, 3971336722 + ... + 3971336978.

Almost surely, 2^{1020633570450} is an apocalyptic number.

1020633570450 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 1020633570450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690754245740).

1020633570450 is an abundant number, since it is smaller than the sum of its proper divisors (2360874921030).

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

1020633570450 is a wasteful number, since it uses less digits than its factorization.

1020633570450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 1020633570450 in words is "one trillion, twenty billion, six hundred thirty-three million, five hundred seventy thousand, four hundred fifty".