1023810067225 has 27 divisors (see below), whose sum is σ = 1395503592861. Its totient is φ = 744548666400.

The previous prime is 1023810067213. The next prime is 1023810067229. The reversal of 1023810067225 is 5227600183201.

The square root of 1023810067225 is 1011835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 109139711769 + 914670355456 = 330363^2 + 956384^2 .

It is not a de Polignac number, because 1023810067225 - 2²⁵ = 1023776512793 is a prime.

It is a super-3 number, since 3×1023810067225³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023810067229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55641727 + ... + 55660123.

Almost surely, 2^{1023810067225} is an apocalyptic number.

1023810067225 is the 1011835-th square number.

1023810067225 is the 505918-th centered octagonal number.

It is an amenable number.

1023810067225 is a deficient number, since it is larger than the sum of its proper divisors (371693525636).

1023810067225 is an frugal number, since it uses more digits than its factorization.

1023810067225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 1023810067225 in words is "one trillion, twenty-three billion, eight hundred ten million, sixty-seven thousand, two hundred twenty-five".