1020425245921 has 9 divisors (see below), whose sum is σ = 1026277989849. Its totient is φ = 1014605708400.

The previous prime is 1020425245901. The next prime is 1020425245949. The reversal of 1020425245921 is 1295425240201.

The square root of 1020425245921 is 1010161.

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

1020425245921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 596155396321 + 424269849600 = 772111^2 + 651360^2 .

It is not a de Polignac number, because 1020425245921 - 2³⁷ = 882986292449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020425245901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182836351 + ... + 182841931.

It is an arithmetic number, because the mean of its divisors is an integer number (114030887761).

Almost surely, 2^{1020425245921} is an apocalyptic number.

1020425245921 is the 1010161-st square number.

1020425245921 is the 505081-st centered octagonal number.

It is an amenable number.

1020425245921 is a deficient number, since it is larger than the sum of its proper divisors (5852743928).

1020425245921 is an frugal number, since it uses more digits than its factorization.

1020425245921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1020425245921 in words is "one trillion, twenty billion, four hundred twenty-five million, two hundred forty-five thousand, nine hundred twenty-one".