1010155654225 has 27 divisors (see below), whose sum is σ = 1274557337947. Its totient is φ = 794194322480.

The previous prime is 1010155654213. The next prime is 1010155654301. The reversal of 1010155654225 is 5224565510101.

The square root of 1010155654225 is 1005065.

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., 363656035521 + 646499618704 = 603039^2 + 804052^2 .

It is not a de Polignac number, because 1010155654225 - 2¹⁵ = 1010155621457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 296492472 + ... + 296495878.

Almost surely, 2^{1010155654225} is an apocalyptic number.

1010155654225 is the 1005065-th square number.

1010155654225 is the 502533-rd centered octagonal number.

It is an amenable number.

1010155654225 is a deficient number, since it is larger than the sum of its proper divisors (264401683722).

1010155654225 is an frugal number, since it uses more digits than its factorization.

1010155654225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 1010155654225 in words is "one trillion, ten billion, one hundred fifty-five million, six hundred fifty-four thousand, two hundred twenty-five".