1442100625 has 75 divisors (see below), whose sum is σ = 2172267933. Its totient is φ = 956970000.

The previous prime is 1442100593. The next prime is 1442100643. The reversal of 1442100625 is 5260012441.

It is a happy number.

The square root of 1442100625 is 37975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 113060689 + 1329039936 = 10633^2 + 36456^2 .

It is not a de Polignac number, because 1442100625 - 2⁵ = 1442100593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1442100625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 46519360 + ... + 46519390.

Almost surely, 2^1442100625 is an apocalyptic number.

1442100625 is the 37975-th square number.

1442100625 is the 18988-th centered octagonal number.

It is an amenable number.

1442100625 is a deficient number, since it is larger than the sum of its proper divisors (730167308).

1442100625 is an frugal number, since it uses more digits than its factorization.

1442100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1442100625 is about 1129.7920689277.

Multiplying 1442100625 by its sum of digits (25), we get a square (36052515625 = 189875²).

1442100625 divided by its sum of digits (25) gives a square (57684025 = 7595²).

The spelling of 1442100625 in words is "one billion, four hundred forty-two million, one hundred thousand, six hundred twenty-five".