1026057573025 has 45 divisors (see below), whose sum is σ = 1353761082013. Its totient is φ = 771458912000.

The previous prime is 1026057573019. The next prime is 1026057573029. The reversal of 1026057573025 is 5203757506201.

The square root of 1026057573025 is 1012945.

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

1026057573025 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 22 ways, for example, as 442447137889 + 583610435136 = 665167^2 + 763944^2 .

It is not a de Polignac number, because 1026057573025 - 2⁵ = 1026057572993 is a prime.

It is a super-4 number, since 4×1026057573025⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026057573029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1463705175 + ... + 1463705875.

Almost surely, 2^{1026057573025} is an apocalyptic number.

1026057573025 is the 1012945-th square number.

1026057573025 is the 506473-rd centered octagonal number.

It is an amenable number.

1026057573025 is a deficient number, since it is larger than the sum of its proper divisors (327703508988).

1026057573025 is an frugal number, since it uses more digits than its factorization.

1026057573025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 43.

The spelling of 1026057573025 in words is "one trillion, twenty-six billion, fifty-seven million, five hundred seventy-three thousand, twenty-five".