1959390225 has 81 divisors (see below), whose sum is σ = 3817026993. Its totient is φ = 960373440.

The previous prime is 1959390193. The next prime is 1959390227. The reversal of 1959390225 is 5220939591.

The square root of 1959390225 is 44265.

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 505035729 + 1454354496 = 22473^2 + 38136^2 .

It is not a de Polignac number, because 1959390225 - 2⁵ = 1959390193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1959390227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8631562 + ... + 8631788.

Almost surely, 2^1959390225 is an apocalyptic number.

1959390225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1959390225 is the 44265-th square number.

1959390225 is the 22133-rd centered octagonal number.

It is an amenable number.

1959390225 is a deficient number, since it is larger than the sum of its proper divisors (1857636768).

1959390225 is a wasteful number, since it uses less digits than its factorization.

1959390225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The cubic root of 1959390225 is about 1251.3351547151.

The spelling of 1959390225 in words is "one billion, nine hundred fifty-nine million, three hundred ninety thousand, two hundred twenty-five".