1020525033321 has 144 divisors (see below), whose sum is σ = 1677260852800. Its totient is φ = 596044210176.

The previous prime is 1020525033263. The next prime is 1020525033323. The reversal of 1020525033321 is 1233305250201.

It is a happy number.

1020525033321 is a `hidden beast` number, since 102 + 0 + 5 + 2 + 503 + 33 + 21 = 666.

1020525033321 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020525033321 - 2¹⁴ = 1020525016937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020525033323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1648666950 + ... + 1648667568.

Almost surely, 2^{1020525033321} is an apocalyptic number.

It is an amenable number.

1020525033321 is a deficient number, since it is larger than the sum of its proper divisors (656735819479).

1020525033321 is a wasteful number, since it uses less digits than its factorization.

1020525033321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 1020525033321 in words is "one trillion, twenty billion, five hundred twenty-five million, thirty-three thousand, three hundred twenty-one".