9020826033961 has 27 divisors (see below), whose sum is σ = 10530206045751. Its totient is φ = 7705267566864.

The previous prime is 9020826033941. The next prime is 9020826033977. The reversal of 9020826033961 is 1693306280209.

The square root of 9020826033961 is 3003469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2129466014361 + 6891360019600 = 1459269^2 + 2625140^2 .

It is not a de Polignac number, because 9020826033961 - 2¹¹ = 9020826031913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (9020826033941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8178445536 + ... + 8178446638.

Almost surely, 2^{9020826033961} is an apocalyptic number.

9020826033961 is the 3003469-th square number.

9020826033961 is the 1501735-th centered octagonal number.

It is an amenable number.

9020826033961 is a deficient number, since it is larger than the sum of its proper divisors (1509380011790).

9020826033961 is an frugal number, since it uses more digits than its factorization.

9020826033961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 9020826033961 by its sum of digits (49), we get a square (442020475664089 = 21024283²).

9020826033961 divided by its sum of digits (49) gives a square (184098490489 = 429067²).

The spelling of 9020826033961 in words is "nine trillion, twenty billion, eight hundred twenty-six million, thirty-three thousand, nine hundred sixty-one".